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Finding the Third Proportional to 62,429 and 137,584

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Solution

The third proportional to 62,429 and 137,584 is: 303,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,429 : 137,584 = 137,584 : x
  2. Step 2: Convert to fraction form
    62,429/137,584 = 137,584/x
  3. Step 3: Cross multiply
    62,429x = 137,584 × 137,584
  4. Step 4: Simplify right side
    62,429x = 18,929,357,056
  5. Step 5: Solve for x
    x = 18,929,357,056/62,429
  6. Step 6: Final answer
    x = 303,214.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.