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Finding the Third Proportional to 102,506 and 155,832

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Solution

The third proportional to 102,506 and 155,832 is: 236,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506 : 155,832 = 155,832 : x
  2. Step 2: Convert to fraction form
    102,506/155,832 = 155,832/x
  3. Step 3: Cross multiply
    102,506x = 155,832 × 155,832
  4. Step 4: Simplify right side
    102,506x = 24,283,612,224
  5. Step 5: Solve for x
    x = 24,283,612,224/102,506
  6. Step 6: Final answer
    x = 236,899.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.