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Finding the Third Proportional to 89,233 and 130,870

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Solution

The third proportional to 89,233 and 130,870 is: 191,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,233 : 130,870 = 130,870 : x
  2. Step 2: Convert to fraction form
    89,233/130,870 = 130,870/x
  3. Step 3: Cross multiply
    89,233x = 130,870 × 130,870
  4. Step 4: Simplify right side
    89,233x = 17,126,956,900
  5. Step 5: Solve for x
    x = 17,126,956,900/89,233
  6. Step 6: Final answer
    x = 191,935.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.