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Finding the Third Proportional to 102,516 and 156,714

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Solution

The third proportional to 102,516 and 156,714 is: 239,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516 : 156,714 = 156,714 : x
  2. Step 2: Convert to fraction form
    102,516/156,714 = 156,714/x
  3. Step 3: Cross multiply
    102,516x = 156,714 × 156,714
  4. Step 4: Simplify right side
    102,516x = 24,559,277,796
  5. Step 5: Solve for x
    x = 24,559,277,796/102,516
  6. Step 6: Final answer
    x = 239,565.31

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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.