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Finding the Third Proportional to 58,106.53 and 127,269.56

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Solution

The third proportional to 58,106.53 and 127,269.56 is: 278,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,106.53 : 127,269.56 = 127,269.56 : x
  2. Step 2: Convert to fraction form
    58,106.53/127,269.56 = 127,269.56/x
  3. Step 3: Cross multiply
    58,106.53x = 127,269.56 × 127,269.56
  4. Step 4: Simplify right side
    58,106.53x = 16,197,541,538.94
  5. Step 5: Solve for x
    x = 16,197,541,538.94/58,106.53
  6. Step 6: Final answer
    x = 278,755.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.