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Finding the Third Proportional to 59,013 and 88,497

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Solution

The third proportional to 59,013 and 88,497 is: 132,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,013 : 88,497 = 88,497 : x
  2. Step 2: Convert to fraction form
    59,013/88,497 = 88,497/x
  3. Step 3: Cross multiply
    59,013x = 88,497 × 88,497
  4. Step 4: Simplify right side
    59,013x = 7,831,719,009
  5. Step 5: Solve for x
    x = 7,831,719,009/59,013
  6. Step 6: Final answer
    x = 132,711.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.