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Finding the Third Proportional to 61,090 and 89,451

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Solution

The third proportional to 61,090 and 89,451 is: 130,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,090 : 89,451 = 89,451 : x
  2. Step 2: Convert to fraction form
    61,090/89,451 = 89,451/x
  3. Step 3: Cross multiply
    61,090x = 89,451 × 89,451
  4. Step 4: Simplify right side
    61,090x = 8,001,481,401
  5. Step 5: Solve for x
    x = 8,001,481,401/61,090
  6. Step 6: Final answer
    x = 130,978.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.