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Finding the Third Proportional to 105,024 and 157,536

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Solution

The third proportional to 105,024 and 157,536 is: 236,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024 : 157,536 = 157,536 : x
  2. Step 2: Convert to fraction form
    105,024/157,536 = 157,536/x
  3. Step 3: Cross multiply
    105,024x = 157,536 × 157,536
  4. Step 4: Simplify right side
    105,024x = 24,817,591,296
  5. Step 5: Solve for x
    x = 24,817,591,296/105,024
  6. Step 6: Final answer
    x = 236,304

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.