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Finding the Third Proportional to 53,143.50 and 82,282

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Solution

The third proportional to 53,143.50 and 82,282 is: 127,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,143.50 : 82,282 = 82,282 : x
  2. Step 2: Convert to fraction form
    53,143.50/82,282 = 82,282/x
  3. Step 3: Cross multiply
    53,143.50x = 82,282 × 82,282
  4. Step 4: Simplify right side
    53,143.50x = 6,770,327,524
  5. Step 5: Solve for x
    x = 6,770,327,524/53,143.50
  6. Step 6: Final answer
    x = 127,397.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.