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Finding the Third Proportional to 54,569 and 83,312

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Solution

The third proportional to 54,569 and 83,312 is: 127,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,569 : 83,312 = 83,312 : x
  2. Step 2: Convert to fraction form
    54,569/83,312 = 83,312/x
  3. Step 3: Cross multiply
    54,569x = 83,312 × 83,312
  4. Step 4: Simplify right side
    54,569x = 6,940,889,344
  5. Step 5: Solve for x
    x = 6,940,889,344/54,569
  6. Step 6: Final answer
    x = 127,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.