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Finding the Third Proportional to 57,540 and 88,316

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Solution

The third proportional to 57,540 and 88,316 is: 135,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,540 : 88,316 = 88,316 : x
  2. Step 2: Convert to fraction form
    57,540/88,316 = 88,316/x
  3. Step 3: Cross multiply
    57,540x = 88,316 × 88,316
  4. Step 4: Simplify right side
    57,540x = 7,799,715,856
  5. Step 5: Solve for x
    x = 7,799,715,856/57,540
  6. Step 6: Final answer
    x = 135,552.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.