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Finding the Third Proportional to 62,314.88 and 137,090.25

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Solution

The third proportional to 62,314.88 and 137,090.25 is: 301,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314.88 : 137,090.25 = 137,090.25 : x
  2. Step 2: Convert to fraction form
    62,314.88/137,090.25 = 137,090.25/x
  3. Step 3: Cross multiply
    62,314.88x = 137,090.25 × 137,090.25
  4. Step 4: Simplify right side
    62,314.88x = 18,793,736,645.06
  5. Step 5: Solve for x
    x = 18,793,736,645.06/62,314.88
  6. Step 6: Final answer
    x = 301,593.11

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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.