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Finding the Third Proportional to 71,152 and 111,612

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Solution

The third proportional to 71,152 and 111,612 is: 175,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152 : 111,612 = 111,612 : x
  2. Step 2: Convert to fraction form
    71,152/111,612 = 111,612/x
  3. Step 3: Cross multiply
    71,152x = 111,612 × 111,612
  4. Step 4: Simplify right side
    71,152x = 12,457,238,544
  5. Step 5: Solve for x
    x = 12,457,238,544/71,152
  6. Step 6: Final answer
    x = 175,079.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.