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Finding the Third Proportional to 51,624 and 72,700.88

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Solution

The third proportional to 51,624 and 72,700.88 is: 102,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 72,700.88 = 72,700.88 : x
  2. Step 2: Convert to fraction form
    51,624/72,700.88 = 72,700.88/x
  3. Step 3: Cross multiply
    51,624x = 72,700.88 × 72,700.88
  4. Step 4: Simplify right side
    51,624x = 5,285,417,225.77
  5. Step 5: Solve for x
    x = 5,285,417,225.77/51,624
  6. Step 6: Final answer
    x = 102,382.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.