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Finding the Third Proportional to 106,398 and 157,543

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Solution

The third proportional to 106,398 and 157,543 is: 233,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398 : 157,543 = 157,543 : x
  2. Step 2: Convert to fraction form
    106,398/157,543 = 157,543/x
  3. Step 3: Cross multiply
    106,398x = 157,543 × 157,543
  4. Step 4: Simplify right side
    106,398x = 24,819,796,849
  5. Step 5: Solve for x
    x = 24,819,796,849/106,398
  6. Step 6: Final answer
    x = 233,273.15

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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.