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Finding the Third Proportional to 60,266 and 89,169

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Solution

The third proportional to 60,266 and 89,169 is: 131,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266 : 89,169 = 89,169 : x
  2. Step 2: Convert to fraction form
    60,266/89,169 = 89,169/x
  3. Step 3: Cross multiply
    60,266x = 89,169 × 89,169
  4. Step 4: Simplify right side
    60,266x = 7,951,110,561
  5. Step 5: Solve for x
    x = 7,951,110,561/60,266
  6. Step 6: Final answer
    x = 131,933.60

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Why These Related Problems?

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