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Finding the Third Proportional to 114,000.75 and 176,536.13

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Solution

The third proportional to 114,000.75 and 176,536.13 is: 273,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.75 : 176,536.13 = 176,536.13 : x
  2. Step 2: Convert to fraction form
    114,000.75/176,536.13 = 176,536.13/x
  3. Step 3: Cross multiply
    114,000.75x = 176,536.13 × 176,536.13
  4. Step 4: Simplify right side
    114,000.75x = 31,165,003,430.02
  5. Step 5: Solve for x
    x = 31,165,003,430.02/114,000.75
  6. Step 6: Final answer
    x = 273,375.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.