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Finding the Third Proportional to 62,500 and 137,506

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Solution

The third proportional to 62,500 and 137,506 is: 302,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500 : 137,506 = 137,506 : x
  2. Step 2: Convert to fraction form
    62,500/137,506 = 137,506/x
  3. Step 3: Cross multiply
    62,500x = 137,506 × 137,506
  4. Step 4: Simplify right side
    62,500x = 18,907,900,036
  5. Step 5: Solve for x
    x = 18,907,900,036/62,500
  6. Step 6: Final answer
    x = 302,526.40

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