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Finding the Third Proportional to 113,646.38 and 168,270.75

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Solution

The third proportional to 113,646.38 and 168,270.75 is: 249,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,646.38 : 168,270.75 = 168,270.75 : x
  2. Step 2: Convert to fraction form
    113,646.38/168,270.75 = 168,270.75/x
  3. Step 3: Cross multiply
    113,646.38x = 168,270.75 × 168,270.75
  4. Step 4: Simplify right side
    113,646.38x = 28,315,045,305.56
  5. Step 5: Solve for x
    x = 28,315,045,305.56/113,646.38
  6. Step 6: Final answer
    x = 249,150.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.