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Finding the Third Proportional to 71,370 and 110,871

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Solution

The third proportional to 71,370 and 110,871 is: 172,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370 : 110,871 = 110,871 : x
  2. Step 2: Convert to fraction form
    71,370/110,871 = 110,871/x
  3. Step 3: Cross multiply
    71,370x = 110,871 × 110,871
  4. Step 4: Simplify right side
    71,370x = 12,292,378,641
  5. Step 5: Solve for x
    x = 12,292,378,641/71,370
  6. Step 6: Final answer
    x = 172,234.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.