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Finding the Third Proportional to 109,117.13 and 168,176.25

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Solution

The third proportional to 109,117.13 and 168,176.25 is: 259,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,117.13 : 168,176.25 = 168,176.25 : x
  2. Step 2: Convert to fraction form
    109,117.13/168,176.25 = 168,176.25/x
  3. Step 3: Cross multiply
    109,117.13x = 168,176.25 × 168,176.25
  4. Step 4: Simplify right side
    109,117.13x = 28,283,251,064.06
  5. Step 5: Solve for x
    x = 28,283,251,064.06/109,117.13
  6. Step 6: Final answer
    x = 259,200.85

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