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Finding the Third Proportional to 55,613 and 83,900

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Solution

The third proportional to 55,613 and 83,900 is: 126,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,613 : 83,900 = 83,900 : x
  2. Step 2: Convert to fraction form
    55,613/83,900 = 83,900/x
  3. Step 3: Cross multiply
    55,613x = 83,900 × 83,900
  4. Step 4: Simplify right side
    55,613x = 7,039,210,000
  5. Step 5: Solve for x
    x = 7,039,210,000/55,613
  6. Step 6: Final answer
    x = 126,574.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.