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Finding the Third Proportional to 106,119.28 and 160,545.38

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Solution

The third proportional to 106,119.28 and 160,545.38 is: 242,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119.28 : 160,545.38 = 160,545.38 : x
  2. Step 2: Convert to fraction form
    106,119.28/160,545.38 = 160,545.38/x
  3. Step 3: Cross multiply
    106,119.28x = 160,545.38 × 160,545.38
  4. Step 4: Simplify right side
    106,119.28x = 25,774,817,433.89
  5. Step 5: Solve for x
    x = 25,774,817,433.89/106,119.28
  6. Step 6: Final answer
    x = 242,885.34

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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.