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Finding the Third Proportional to 134,023.50 and 196,933.50

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Solution

The third proportional to 134,023.50 and 196,933.50 is: 289,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,023.50 : 196,933.50 = 196,933.50 : x
  2. Step 2: Convert to fraction form
    134,023.50/196,933.50 = 196,933.50/x
  3. Step 3: Cross multiply
    134,023.50x = 196,933.50 × 196,933.50
  4. Step 4: Simplify right side
    134,023.50x = 38,782,803,422.25
  5. Step 5: Solve for x
    x = 38,782,803,422.25/134,023.50
  6. Step 6: Final answer
    x = 289,373.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.