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Finding the Third Proportional to 72,581 and 111,032

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Solution

The third proportional to 72,581 and 111,032 is: 169,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581 : 111,032 = 111,032 : x
  2. Step 2: Convert to fraction form
    72,581/111,032 = 111,032/x
  3. Step 3: Cross multiply
    72,581x = 111,032 × 111,032
  4. Step 4: Simplify right side
    72,581x = 12,328,105,024
  5. Step 5: Solve for x
    x = 12,328,105,024/72,581
  6. Step 6: Final answer
    x = 169,853.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.