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Finding the Third Proportional to 57,997.13 and 88,210.69

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Solution

The third proportional to 57,997.13 and 88,210.69 is: 134,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,997.13 : 88,210.69 = 88,210.69 : x
  2. Step 2: Convert to fraction form
    57,997.13/88,210.69 = 88,210.69/x
  3. Step 3: Cross multiply
    57,997.13x = 88,210.69 × 88,210.69
  4. Step 4: Simplify right side
    57,997.13x = 7,781,125,389.22
  5. Step 5: Solve for x
    x = 7,781,125,389.22/57,997.13
  6. Step 6: Final answer
    x = 134,163.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.