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Finding the Third Proportional to 89,226 and 130,860

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Solution

The third proportional to 89,226 and 130,860 is: 191,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,226 : 130,860 = 130,860 : x
  2. Step 2: Convert to fraction form
    89,226/130,860 = 130,860/x
  3. Step 3: Cross multiply
    89,226x = 130,860 × 130,860
  4. Step 4: Simplify right side
    89,226x = 17,124,339,600
  5. Step 5: Solve for x
    x = 17,124,339,600/89,226
  6. Step 6: Final answer
    x = 191,920.96

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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.