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Finding the Third Proportional to 124,545.94 and 198,272.81

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Solution

The third proportional to 124,545.94 and 198,272.81 is: 315,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,545.94 : 198,272.81 = 198,272.81 : x
  2. Step 2: Convert to fraction form
    124,545.94/198,272.81 = 198,272.81/x
  3. Step 3: Cross multiply
    124,545.94x = 198,272.81 × 198,272.81
  4. Step 4: Simplify right side
    124,545.94x = 39,312,108,176.66
  5. Step 5: Solve for x
    x = 39,312,108,176.66/124,545.94
  6. Step 6: Final answer
    x = 315,643.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.