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Finding the Third Proportional to 111,708 and 156,260.25

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Solution

The third proportional to 111,708 and 156,260.25 is: 218,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,708 : 156,260.25 = 156,260.25 : x
  2. Step 2: Convert to fraction form
    111,708/156,260.25 = 156,260.25/x
  3. Step 3: Cross multiply
    111,708x = 156,260.25 × 156,260.25
  4. Step 4: Simplify right side
    111,708x = 24,417,265,730.06
  5. Step 5: Solve for x
    x = 24,417,265,730.06/111,708
  6. Step 6: Final answer
    x = 218,581.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.