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Finding the Third Proportional to 83,292.38 and 121,814.63

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Solution

The third proportional to 83,292.38 and 121,814.63 is: 178,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.38 : 121,814.63 = 121,814.63 : x
  2. Step 2: Convert to fraction form
    83,292.38/121,814.63 = 121,814.63/x
  3. Step 3: Cross multiply
    83,292.38x = 121,814.63 × 121,814.63
  4. Step 4: Simplify right side
    83,292.38x = 14,838,802,863.89
  5. Step 5: Solve for x
    x = 14,838,802,863.89/83,292.38
  6. Step 6: Final answer
    x = 178,153.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.