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Finding the Third Proportional to 121,124.25 and 282,915

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Solution

The third proportional to 121,124.25 and 282,915 is: 660,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,124.25 : 282,915 = 282,915 : x
  2. Step 2: Convert to fraction form
    121,124.25/282,915 = 282,915/x
  3. Step 3: Cross multiply
    121,124.25x = 282,915 × 282,915
  4. Step 4: Simplify right side
    121,124.25x = 80,040,897,225
  5. Step 5: Solve for x
    x = 80,040,897,225/121,124.25
  6. Step 6: Final answer
    x = 660,816.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.