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Finding the Third Proportional to 89,412 and 132,572

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Solution

The third proportional to 89,412 and 132,572 is: 196,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,412 : 132,572 = 132,572 : x
  2. Step 2: Convert to fraction form
    89,412/132,572 = 132,572/x
  3. Step 3: Cross multiply
    89,412x = 132,572 × 132,572
  4. Step 4: Simplify right side
    89,412x = 17,575,335,184
  5. Step 5: Solve for x
    x = 17,575,335,184/89,412
  6. Step 6: Final answer
    x = 196,565.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.