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Finding the Third Proportional to 80,726.63 and 176,782.50

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Solution

The third proportional to 80,726.63 and 176,782.50 is: 387,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,726.63 : 176,782.50 = 176,782.50 : x
  2. Step 2: Convert to fraction form
    80,726.63/176,782.50 = 176,782.50/x
  3. Step 3: Cross multiply
    80,726.63x = 176,782.50 × 176,782.50
  4. Step 4: Simplify right side
    80,726.63x = 31,252,052,306.25
  5. Step 5: Solve for x
    x = 31,252,052,306.25/80,726.63
  6. Step 6: Final answer
    x = 387,134.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.