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Finding the Third Proportional to 96,051 and 154,327.88

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Solution

The third proportional to 96,051 and 154,327.88 is: 247,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,051 : 154,327.88 = 154,327.88 : x
  2. Step 2: Convert to fraction form
    96,051/154,327.88 = 154,327.88/x
  3. Step 3: Cross multiply
    96,051x = 154,327.88 × 154,327.88
  4. Step 4: Simplify right side
    96,051x = 23,817,093,002.02
  5. Step 5: Solve for x
    x = 23,817,093,002.02/96,051
  6. Step 6: Final answer
    x = 247,962.99

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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.