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Finding the Third Proportional to 102,264 and 156,969

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Solution

The third proportional to 102,264 and 156,969 is: 240,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 156,969 = 156,969 : x
  2. Step 2: Convert to fraction form
    102,264/156,969 = 156,969/x
  3. Step 3: Cross multiply
    102,264x = 156,969 × 156,969
  4. Step 4: Simplify right side
    102,264x = 24,639,266,961
  5. Step 5: Solve for x
    x = 24,639,266,961/102,264
  6. Step 6: Final answer
    x = 240,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.