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Finding the Third Proportional to 42,577 and 86,370

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Solution

The third proportional to 42,577 and 86,370 is: 175,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,577 : 86,370 = 86,370 : x
  2. Step 2: Convert to fraction form
    42,577/86,370 = 86,370/x
  3. Step 3: Cross multiply
    42,577x = 86,370 × 86,370
  4. Step 4: Simplify right side
    42,577x = 7,459,776,900
  5. Step 5: Solve for x
    x = 7,459,776,900/42,577
  6. Step 6: Final answer
    x = 175,206.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.