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Finding the Third Proportional to 59,138 and 88,473

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Solution

The third proportional to 59,138 and 88,473 is: 132,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138 : 88,473 = 88,473 : x
  2. Step 2: Convert to fraction form
    59,138/88,473 = 88,473/x
  3. Step 3: Cross multiply
    59,138x = 88,473 × 88,473
  4. Step 4: Simplify right side
    59,138x = 7,827,471,729
  5. Step 5: Solve for x
    x = 7,827,471,729/59,138
  6. Step 6: Final answer
    x = 132,359.43

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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.