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Finding the Third Proportional to 113,554.13 and 176,329.69

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Solution

The third proportional to 113,554.13 and 176,329.69 is: 273,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,554.13 : 176,329.69 = 176,329.69 : x
  2. Step 2: Convert to fraction form
    113,554.13/176,329.69 = 176,329.69/x
  3. Step 3: Cross multiply
    113,554.13x = 176,329.69 × 176,329.69
  4. Step 4: Simplify right side
    113,554.13x = 31,092,158,693.85
  5. Step 5: Solve for x
    x = 31,092,158,693.85/113,554.13
  6. Step 6: Final answer
    x = 273,809.15

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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.