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Finding the Third Proportional to 83,715.75 and 127,539

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Solution

The third proportional to 83,715.75 and 127,539 is: 194,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.75 : 127,539 = 127,539 : x
  2. Step 2: Convert to fraction form
    83,715.75/127,539 = 127,539/x
  3. Step 3: Cross multiply
    83,715.75x = 127,539 × 127,539
  4. Step 4: Simplify right side
    83,715.75x = 16,266,196,521
  5. Step 5: Solve for x
    x = 16,266,196,521/83,715.75
  6. Step 6: Final answer
    x = 194,302.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.