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Finding the Third Proportional to 125,973.56 and 190,959.19

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Solution

The third proportional to 125,973.56 and 190,959.19 is: 289,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,973.56 : 190,959.19 = 190,959.19 : x
  2. Step 2: Convert to fraction form
    125,973.56/190,959.19 = 190,959.19/x
  3. Step 3: Cross multiply
    125,973.56x = 190,959.19 × 190,959.19
  4. Step 4: Simplify right side
    125,973.56x = 36,465,411,290.66
  5. Step 5: Solve for x
    x = 36,465,411,290.66/125,973.56
  6. Step 6: Final answer
    x = 289,468.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.