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Finding the Third Proportional to 83,675 and 127,473

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Solution

The third proportional to 83,675 and 127,473 is: 194,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675 : 127,473 = 127,473 : x
  2. Step 2: Convert to fraction form
    83,675/127,473 = 127,473/x
  3. Step 3: Cross multiply
    83,675x = 127,473 × 127,473
  4. Step 4: Simplify right side
    83,675x = 16,249,365,729
  5. Step 5: Solve for x
    x = 16,249,365,729/83,675
  6. Step 6: Final answer
    x = 194,196.18

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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.