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Finding the Third Proportional to 57,294 and 88,533

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Solution

The third proportional to 57,294 and 88,533 is: 136,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 88,533 = 88,533 : x
  2. Step 2: Convert to fraction form
    57,294/88,533 = 88,533/x
  3. Step 3: Cross multiply
    57,294x = 88,533 × 88,533
  4. Step 4: Simplify right side
    57,294x = 7,838,092,089
  5. Step 5: Solve for x
    x = 7,838,092,089/57,294
  6. Step 6: Final answer
    x = 136,804.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.