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Finding the Third Proportional to 61,605 and 89,035

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Solution

The third proportional to 61,605 and 89,035 is: 128,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605 : 89,035 = 89,035 : x
  2. Step 2: Convert to fraction form
    61,605/89,035 = 89,035/x
  3. Step 3: Cross multiply
    61,605x = 89,035 × 89,035
  4. Step 4: Simplify right side
    61,605x = 7,927,231,225
  5. Step 5: Solve for x
    x = 7,927,231,225/61,605
  6. Step 6: Final answer
    x = 128,678.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.