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Finding the Third Proportional to 61,730 and 95,157

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Solution

The third proportional to 61,730 and 95,157 is: 146,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,730 : 95,157 = 95,157 : x
  2. Step 2: Convert to fraction form
    61,730/95,157 = 95,157/x
  3. Step 3: Cross multiply
    61,730x = 95,157 × 95,157
  4. Step 4: Simplify right side
    61,730x = 9,054,854,649
  5. Step 5: Solve for x
    x = 9,054,854,649/61,730
  6. Step 6: Final answer
    x = 146,684.83

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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.