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Finding the Third Proportional to 58,001 and 88,217

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Solution

The third proportional to 58,001 and 88,217 is: 134,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,001 : 88,217 = 88,217 : x
  2. Step 2: Convert to fraction form
    58,001/88,217 = 88,217/x
  3. Step 3: Cross multiply
    58,001x = 88,217 × 88,217
  4. Step 4: Simplify right side
    58,001x = 7,782,239,089
  5. Step 5: Solve for x
    x = 7,782,239,089/58,001
  6. Step 6: Final answer
    x = 134,174.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.