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Finding the Third Proportional to 62,428 and 137,582

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Solution

The third proportional to 62,428 and 137,582 is: 303,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,428 : 137,582 = 137,582 : x
  2. Step 2: Convert to fraction form
    62,428/137,582 = 137,582/x
  3. Step 3: Cross multiply
    62,428x = 137,582 × 137,582
  4. Step 4: Simplify right side
    62,428x = 18,928,806,724
  5. Step 5: Solve for x
    x = 18,928,806,724/62,428
  6. Step 6: Final answer
    x = 303,210.21

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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.