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Finding the Third Proportional to 59,540 and 90,078

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Solution

The third proportional to 59,540 and 90,078 is: 136,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540 : 90,078 = 90,078 : x
  2. Step 2: Convert to fraction form
    59,540/90,078 = 90,078/x
  3. Step 3: Cross multiply
    59,540x = 90,078 × 90,078
  4. Step 4: Simplify right side
    59,540x = 8,114,046,084
  5. Step 5: Solve for x
    x = 8,114,046,084/59,540
  6. Step 6: Final answer
    x = 136,278.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.