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Finding the Third Proportional to 83,675.53 and 127,483.88

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Solution

The third proportional to 83,675.53 and 127,483.88 is: 194,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675.53 : 127,483.88 = 127,483.88 : x
  2. Step 2: Convert to fraction form
    83,675.53/127,483.88 = 127,483.88/x
  3. Step 3: Cross multiply
    83,675.53x = 127,483.88 × 127,483.88
  4. Step 4: Simplify right side
    83,675.53x = 16,252,138,385.02
  5. Step 5: Solve for x
    x = 16,252,138,385.02/83,675.53
  6. Step 6: Final answer
    x = 194,228.09

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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.