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Finding the Third Proportional to 101,414.81 and 157,658.06

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Solution

The third proportional to 101,414.81 and 157,658.06 is: 245,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.81 : 157,658.06 = 157,658.06 : x
  2. Step 2: Convert to fraction form
    101,414.81/157,658.06 = 157,658.06/x
  3. Step 3: Cross multiply
    101,414.81x = 157,658.06 × 157,658.06
  4. Step 4: Simplify right side
    101,414.81x = 24,856,064,671.25
  5. Step 5: Solve for x
    x = 24,856,064,671.25/101,414.81
  6. Step 6: Final answer
    x = 245,093.04

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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.