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Finding the Third Proportional to 71,508 and 94,034

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Solution

The third proportional to 71,508 and 94,034 is: 123,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,508 : 94,034 = 94,034 : x
  2. Step 2: Convert to fraction form
    71,508/94,034 = 94,034/x
  3. Step 3: Cross multiply
    71,508x = 94,034 × 94,034
  4. Step 4: Simplify right side
    71,508x = 8,842,393,156
  5. Step 5: Solve for x
    x = 8,842,393,156/71,508
  6. Step 6: Final answer
    x = 123,656.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.