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Finding the Third Proportional to 71,032 and 157,829

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Solution

The third proportional to 71,032 and 157,829 is: 350,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,032 : 157,829 = 157,829 : x
  2. Step 2: Convert to fraction form
    71,032/157,829 = 157,829/x
  3. Step 3: Cross multiply
    71,032x = 157,829 × 157,829
  4. Step 4: Simplify right side
    71,032x = 24,909,993,241
  5. Step 5: Solve for x
    x = 24,909,993,241/71,032
  6. Step 6: Final answer
    x = 350,686.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.