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Finding the Third Proportional to 73,098 and 107,052.75

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Solution

The third proportional to 73,098 and 107,052.75 is: 156,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098 : 107,052.75 = 107,052.75 : x
  2. Step 2: Convert to fraction form
    73,098/107,052.75 = 107,052.75/x
  3. Step 3: Cross multiply
    73,098x = 107,052.75 × 107,052.75
  4. Step 4: Simplify right side
    73,098x = 11,460,291,282.56
  5. Step 5: Solve for x
    x = 11,460,291,282.56/73,098
  6. Step 6: Final answer
    x = 156,779.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.