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Finding the Third Proportional to 83,334.38 and 127,051.88

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Solution

The third proportional to 83,334.38 and 127,051.88 is: 193,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,334.38 : 127,051.88 = 127,051.88 : x
  2. Step 2: Convert to fraction form
    83,334.38/127,051.88 = 127,051.88/x
  3. Step 3: Cross multiply
    83,334.38x = 127,051.88 × 127,051.88
  4. Step 4: Simplify right side
    83,334.38x = 16,142,178,941.02
  5. Step 5: Solve for x
    x = 16,142,178,941.02/83,334.38
  6. Step 6: Final answer
    x = 193,703.73

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