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Finding the Third Proportional to 91,001.60 and 137,775.30

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Solution

The third proportional to 91,001.60 and 137,775.30 is: 208,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,001.60 : 137,775.30 = 137,775.30 : x
  2. Step 2: Convert to fraction form
    91,001.60/137,775.30 = 137,775.30/x
  3. Step 3: Cross multiply
    91,001.60x = 137,775.30 × 137,775.30
  4. Step 4: Simplify right side
    91,001.60x = 18,982,034,581.73
  5. Step 5: Solve for x
    x = 18,982,034,581.73/91,001.60
  6. Step 6: Final answer
    x = 208,590.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.