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Finding the Third Proportional to 106,545.38 and 163,755

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Solution

The third proportional to 106,545.38 and 163,755 is: 251,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,545.38 : 163,755 = 163,755 : x
  2. Step 2: Convert to fraction form
    106,545.38/163,755 = 163,755/x
  3. Step 3: Cross multiply
    106,545.38x = 163,755 × 163,755
  4. Step 4: Simplify right side
    106,545.38x = 26,815,700,025
  5. Step 5: Solve for x
    x = 26,815,700,025/106,545.38
  6. Step 6: Final answer
    x = 251,683.38

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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.