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Finding the Third Proportional to 113,553.75 and 176,327.16

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Solution

The third proportional to 113,553.75 and 176,327.16 is: 273,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,553.75 : 176,327.16 = 176,327.16 : x
  2. Step 2: Convert to fraction form
    113,553.75/176,327.16 = 176,327.16/x
  3. Step 3: Cross multiply
    113,553.75x = 176,327.16 × 176,327.16
  4. Step 4: Simplify right side
    113,553.75x = 31,091,266,031.21
  5. Step 5: Solve for x
    x = 31,091,266,031.21/113,553.75
  6. Step 6: Final answer
    x = 273,802.20

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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.