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Finding the Third Proportional to 131,742 and 292,959

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Solution

The third proportional to 131,742 and 292,959 is: 651,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,742 : 292,959 = 292,959 : x
  2. Step 2: Convert to fraction form
    131,742/292,959 = 292,959/x
  3. Step 3: Cross multiply
    131,742x = 292,959 × 292,959
  4. Step 4: Simplify right side
    131,742x = 85,824,975,681
  5. Step 5: Solve for x
    x = 85,824,975,681/131,742
  6. Step 6: Final answer
    x = 651,462.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.