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Finding the Third Proportional to 112,088.81 and 166,545.28

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Solution

The third proportional to 112,088.81 and 166,545.28 is: 247,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,088.81 : 166,545.28 = 166,545.28 : x
  2. Step 2: Convert to fraction form
    112,088.81/166,545.28 = 166,545.28/x
  3. Step 3: Cross multiply
    112,088.81x = 166,545.28 × 166,545.28
  4. Step 4: Simplify right side
    112,088.81x = 27,737,330,706.64
  5. Step 5: Solve for x
    x = 27,737,330,706.64/112,088.81
  6. Step 6: Final answer
    x = 247,458.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.