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Finding the Third Proportional to 71,658 and 107,091

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Solution

The third proportional to 71,658 and 107,091 is: 160,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658 : 107,091 = 107,091 : x
  2. Step 2: Convert to fraction form
    71,658/107,091 = 107,091/x
  3. Step 3: Cross multiply
    71,658x = 107,091 × 107,091
  4. Step 4: Simplify right side
    71,658x = 11,468,482,281
  5. Step 5: Solve for x
    x = 11,468,482,281/71,658
  6. Step 6: Final answer
    x = 160,044.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.