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Finding the Third Proportional to 102,115.69 and 274,357.13

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Solution

The third proportional to 102,115.69 and 274,357.13 is: 737,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 274,357.13 = 274,357.13 : x
  2. Step 2: Convert to fraction form
    102,115.69/274,357.13 = 274,357.13/x
  3. Step 3: Cross multiply
    102,115.69x = 274,357.13 × 274,357.13
  4. Step 4: Simplify right side
    102,115.69x = 75,271,832,038.27
  5. Step 5: Solve for x
    x = 75,271,832,038.27/102,115.69
  6. Step 6: Final answer
    x = 737,123.10

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.