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Finding the Third Proportional to 60,407 and 142,139

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Solution

The third proportional to 60,407 and 142,139 is: 334,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,407 : 142,139 = 142,139 : x
  2. Step 2: Convert to fraction form
    60,407/142,139 = 142,139/x
  3. Step 3: Cross multiply
    60,407x = 142,139 × 142,139
  4. Step 4: Simplify right side
    60,407x = 20,203,495,321
  5. Step 5: Solve for x
    x = 20,203,495,321/60,407
  6. Step 6: Final answer
    x = 334,456.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.