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Finding the Third Proportional to 47,025 and 77,194.13

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Solution

The third proportional to 47,025 and 77,194.13 is: 126,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,025 : 77,194.13 = 77,194.13 : x
  2. Step 2: Convert to fraction form
    47,025/77,194.13 = 77,194.13/x
  3. Step 3: Cross multiply
    47,025x = 77,194.13 × 77,194.13
  4. Step 4: Simplify right side
    47,025x = 5,958,932,934.52
  5. Step 5: Solve for x
    x = 5,958,932,934.52/47,025
  6. Step 6: Final answer
    x = 126,718.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.