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Finding the Third Proportional to 62,697 and 137,058

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Solution

The third proportional to 62,697 and 137,058 is: 299,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,697 : 137,058 = 137,058 : x
  2. Step 2: Convert to fraction form
    62,697/137,058 = 137,058/x
  3. Step 3: Cross multiply
    62,697x = 137,058 × 137,058
  4. Step 4: Simplify right side
    62,697x = 18,784,895,364
  5. Step 5: Solve for x
    x = 18,784,895,364/62,697
  6. Step 6: Final answer
    x = 299,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.