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Finding the Third Proportional to 125,955 and 190,147.50

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Solution

The third proportional to 125,955 and 190,147.50 is: 287,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,955 : 190,147.50 = 190,147.50 : x
  2. Step 2: Convert to fraction form
    125,955/190,147.50 = 190,147.50/x
  3. Step 3: Cross multiply
    125,955x = 190,147.50 × 190,147.50
  4. Step 4: Simplify right side
    125,955x = 36,156,071,756.25
  5. Step 5: Solve for x
    x = 36,156,071,756.25/125,955
  6. Step 6: Final answer
    x = 287,055.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.