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Finding the Third Proportional to 106,392 and 157,532

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Solution

The third proportional to 106,392 and 157,532 is: 233,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392 : 157,532 = 157,532 : x
  2. Step 2: Convert to fraction form
    106,392/157,532 = 157,532/x
  3. Step 3: Cross multiply
    106,392x = 157,532 × 157,532
  4. Step 4: Simplify right side
    106,392x = 24,816,331,024
  5. Step 5: Solve for x
    x = 24,816,331,024/106,392
  6. Step 6: Final answer
    x = 233,253.73

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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.