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Finding the Third Proportional to 101,368 and 157,344

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Solution

The third proportional to 101,368 and 157,344 is: 244,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,368 : 157,344 = 157,344 : x
  2. Step 2: Convert to fraction form
    101,368/157,344 = 157,344/x
  3. Step 3: Cross multiply
    101,368x = 157,344 × 157,344
  4. Step 4: Simplify right side
    101,368x = 24,757,134,336
  5. Step 5: Solve for x
    x = 24,757,134,336/101,368
  6. Step 6: Final answer
    x = 244,230.27

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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.