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Finding the Third Proportional to 62,140 and 132,988

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Solution

The third proportional to 62,140 and 132,988 is: 284,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,140 : 132,988 = 132,988 : x
  2. Step 2: Convert to fraction form
    62,140/132,988 = 132,988/x
  3. Step 3: Cross multiply
    62,140x = 132,988 × 132,988
  4. Step 4: Simplify right side
    62,140x = 17,685,808,144
  5. Step 5: Solve for x
    x = 17,685,808,144/62,140
  6. Step 6: Final answer
    x = 284,612.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.