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Finding the Third Proportional to 126,780.19 and 274,701.38

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Solution

The third proportional to 126,780.19 and 274,701.38 is: 595,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,780.19 : 274,701.38 = 274,701.38 : x
  2. Step 2: Convert to fraction form
    126,780.19/274,701.38 = 274,701.38/x
  3. Step 3: Cross multiply
    126,780.19x = 274,701.38 × 274,701.38
  4. Step 4: Simplify right side
    126,780.19x = 75,460,845,426.89
  5. Step 5: Solve for x
    x = 75,460,845,426.89/126,780.19
  6. Step 6: Final answer
    x = 595,210.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.