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Finding the Third Proportional to 59,170.50 and 110,170.13

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Solution

The third proportional to 59,170.50 and 110,170.13 is: 205,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,170.50 : 110,170.13 = 110,170.13 : x
  2. Step 2: Convert to fraction form
    59,170.50/110,170.13 = 110,170.13/x
  3. Step 3: Cross multiply
    59,170.50x = 110,170.13 × 110,170.13
  4. Step 4: Simplify right side
    59,170.50x = 12,137,456,442.52
  5. Step 5: Solve for x
    x = 12,137,456,442.52/59,170.50
  6. Step 6: Final answer
    x = 205,126.82

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.