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Finding the Third Proportional to 113,555.06 and 176,329.50

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Solution

The third proportional to 113,555.06 and 176,329.50 is: 273,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,555.06 : 176,329.50 = 176,329.50 : x
  2. Step 2: Convert to fraction form
    113,555.06/176,329.50 = 176,329.50/x
  3. Step 3: Cross multiply
    113,555.06x = 176,329.50 × 176,329.50
  4. Step 4: Simplify right side
    113,555.06x = 31,092,092,570.25
  5. Step 5: Solve for x
    x = 31,092,092,570.25/113,555.06
  6. Step 6: Final answer
    x = 273,806.31

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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.