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Finding the Third Proportional to 107,168 and 157,624

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Solution

The third proportional to 107,168 and 157,624 is: 231,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,168 : 157,624 = 157,624 : x
  2. Step 2: Convert to fraction form
    107,168/157,624 = 157,624/x
  3. Step 3: Cross multiply
    107,168x = 157,624 × 157,624
  4. Step 4: Simplify right side
    107,168x = 24,845,325,376
  5. Step 5: Solve for x
    x = 24,845,325,376/107,168
  6. Step 6: Final answer
    x = 231,835.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.