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Finding the Third Proportional to 117,025.88 and 176,572.13

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Solution

The third proportional to 117,025.88 and 176,572.13 is: 266,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,025.88 : 176,572.13 = 176,572.13 : x
  2. Step 2: Convert to fraction form
    117,025.88/176,572.13 = 176,572.13/x
  3. Step 3: Cross multiply
    117,025.88x = 176,572.13 × 176,572.13
  4. Step 4: Simplify right side
    117,025.88x = 31,177,715,327.02
  5. Step 5: Solve for x
    x = 31,177,715,327.02/117,025.88
  6. Step 6: Final answer
    x = 266,417.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.