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Finding the Third Proportional to 125,929.13 and 190,105.88

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Solution

The third proportional to 125,929.13 and 190,105.88 is: 286,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,929.13 : 190,105.88 = 190,105.88 : x
  2. Step 2: Convert to fraction form
    125,929.13/190,105.88 = 190,105.88/x
  3. Step 3: Cross multiply
    125,929.13x = 190,105.88 × 190,105.88
  4. Step 4: Simplify right side
    125,929.13x = 36,140,243,709.52
  5. Step 5: Solve for x
    x = 36,140,243,709.52/125,929.13
  6. Step 6: Final answer
    x = 286,988.76

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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.