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Finding the Third Proportional to 40,722 and 89,730

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Solution

The third proportional to 40,722 and 89,730 is: 197,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,722 : 89,730 = 89,730 : x
  2. Step 2: Convert to fraction form
    40,722/89,730 = 89,730/x
  3. Step 3: Cross multiply
    40,722x = 89,730 × 89,730
  4. Step 4: Simplify right side
    40,722x = 8,051,472,900
  5. Step 5: Solve for x
    x = 8,051,472,900/40,722
  6. Step 6: Final answer
    x = 197,718.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.