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Finding the Third Proportional to 111,709.13 and 156,262.50

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Solution

The third proportional to 111,709.13 and 156,262.50 is: 218,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.13 : 156,262.50 = 156,262.50 : x
  2. Step 2: Convert to fraction form
    111,709.13/156,262.50 = 156,262.50/x
  3. Step 3: Cross multiply
    111,709.13x = 156,262.50 × 156,262.50
  4. Step 4: Simplify right side
    111,709.13x = 24,417,968,906.25
  5. Step 5: Solve for x
    x = 24,417,968,906.25/111,709.13
  6. Step 6: Final answer
    x = 218,585.27

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Why These Related Problems?

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