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Finding the Third Proportional to 106,718.77 and 160,026.89

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Solution

The third proportional to 106,718.77 and 160,026.89 is: 239,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,718.77 : 160,026.89 = 160,026.89 : x
  2. Step 2: Convert to fraction form
    106,718.77/160,026.89 = 160,026.89/x
  3. Step 3: Cross multiply
    106,718.77x = 160,026.89 × 160,026.89
  4. Step 4: Simplify right side
    106,718.77x = 25,608,605,723.11
  5. Step 5: Solve for x
    x = 25,608,605,723.11/106,718.77
  6. Step 6: Final answer
    x = 239,963.47

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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.