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Finding the Third Proportional to 55,765.13 and 89,769.94

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Solution

The third proportional to 55,765.13 and 89,769.94 is: 144,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,765.13 : 89,769.94 = 89,769.94 : x
  2. Step 2: Convert to fraction form
    55,765.13/89,769.94 = 89,769.94/x
  3. Step 3: Cross multiply
    55,765.13x = 89,769.94 × 89,769.94
  4. Step 4: Simplify right side
    55,765.13x = 8,058,641,678.75
  5. Step 5: Solve for x
    x = 8,058,641,678.75/55,765.13
  6. Step 6: Final answer
    x = 144,510.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.