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Finding the Third Proportional to 95,508 and 147,413

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Solution

The third proportional to 95,508 and 147,413 is: 227,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,508 : 147,413 = 147,413 : x
  2. Step 2: Convert to fraction form
    95,508/147,413 = 147,413/x
  3. Step 3: Cross multiply
    95,508x = 147,413 × 147,413
  4. Step 4: Simplify right side
    95,508x = 21,730,592,569
  5. Step 5: Solve for x
    x = 21,730,592,569/95,508
  6. Step 6: Final answer
    x = 227,526.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.