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Finding the Third Proportional to 62,748 and 137,028.38

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Solution

The third proportional to 62,748 and 137,028.38 is: 299,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,748 : 137,028.38 = 137,028.38 : x
  2. Step 2: Convert to fraction form
    62,748/137,028.38 = 137,028.38/x
  3. Step 3: Cross multiply
    62,748x = 137,028.38 × 137,028.38
  4. Step 4: Simplify right side
    62,748x = 18,776,775,555.14
  5. Step 5: Solve for x
    x = 18,776,775,555.14/62,748
  6. Step 6: Final answer
    x = 299,241.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.