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Finding the Third Proportional to 56,680 and 84,723.88

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Solution

The third proportional to 56,680 and 84,723.88 is: 126,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680 : 84,723.88 = 84,723.88 : x
  2. Step 2: Convert to fraction form
    56,680/84,723.88 = 84,723.88/x
  3. Step 3: Cross multiply
    56,680x = 84,723.88 × 84,723.88
  4. Step 4: Simplify right side
    56,680x = 7,178,134,995.02
  5. Step 5: Solve for x
    x = 7,178,134,995.02/56,680
  6. Step 6: Final answer
    x = 126,643.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.