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Finding the Third Proportional to 96,052.13 and 154,329.75

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Solution

The third proportional to 96,052.13 and 154,329.75 is: 247,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,052.13 : 154,329.75 = 154,329.75 : x
  2. Step 2: Convert to fraction form
    96,052.13/154,329.75 = 154,329.75/x
  3. Step 3: Cross multiply
    96,052.13x = 154,329.75 × 154,329.75
  4. Step 4: Simplify right side
    96,052.13x = 23,817,671,735.06
  5. Step 5: Solve for x
    x = 23,817,671,735.06/96,052.13
  6. Step 6: Final answer
    x = 247,966.11

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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.