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Finding the Third Proportional to 110,376 and 169,867.13

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Solution

The third proportional to 110,376 and 169,867.13 is: 261,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,376 : 169,867.13 = 169,867.13 : x
  2. Step 2: Convert to fraction form
    110,376/169,867.13 = 169,867.13/x
  3. Step 3: Cross multiply
    110,376x = 169,867.13 × 169,867.13
  4. Step 4: Simplify right side
    110,376x = 28,854,840,155.77
  5. Step 5: Solve for x
    x = 28,854,840,155.77/110,376
  6. Step 6: Final answer
    x = 261,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.