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Finding the Third Proportional to 101,604 and 150,934.50

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Solution

The third proportional to 101,604 and 150,934.50 is: 224,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,604 : 150,934.50 = 150,934.50 : x
  2. Step 2: Convert to fraction form
    101,604/150,934.50 = 150,934.50/x
  3. Step 3: Cross multiply
    101,604x = 150,934.50 × 150,934.50
  4. Step 4: Simplify right side
    101,604x = 22,781,223,290.25
  5. Step 5: Solve for x
    x = 22,781,223,290.25/101,604
  6. Step 6: Final answer
    x = 224,215.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.