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Finding the Third Proportional to 61,850 and 89,345

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Solution

The third proportional to 61,850 and 89,345 is: 129,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,850 : 89,345 = 89,345 : x
  2. Step 2: Convert to fraction form
    61,850/89,345 = 89,345/x
  3. Step 3: Cross multiply
    61,850x = 89,345 × 89,345
  4. Step 4: Simplify right side
    61,850x = 7,982,529,025
  5. Step 5: Solve for x
    x = 7,982,529,025/61,850
  6. Step 6: Final answer
    x = 129,062.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.