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Finding the Third Proportional to 113,931.56 and 176,868.56

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Solution

The third proportional to 113,931.56 and 176,868.56 is: 274,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,931.56 : 176,868.56 = 176,868.56 : x
  2. Step 2: Convert to fraction form
    113,931.56/176,868.56 = 176,868.56/x
  3. Step 3: Cross multiply
    113,931.56x = 176,868.56 × 176,868.56
  4. Step 4: Simplify right side
    113,931.56x = 31,282,488,400.82
  5. Step 5: Solve for x
    x = 31,282,488,400.82/113,931.56
  6. Step 6: Final answer
    x = 274,572.63

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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.