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Finding the Third Proportional to 62,757 and 137,953.13

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Solution

The third proportional to 62,757 and 137,953.13 is: 303,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,757 : 137,953.13 = 137,953.13 : x
  2. Step 2: Convert to fraction form
    62,757/137,953.13 = 137,953.13/x
  3. Step 3: Cross multiply
    62,757x = 137,953.13 × 137,953.13
  4. Step 4: Simplify right side
    62,757x = 19,031,064,697.27
  5. Step 5: Solve for x
    x = 19,031,064,697.27/62,757
  6. Step 6: Final answer
    x = 303,250.07

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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.