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Finding the Third Proportional to 98,714 and 156,819

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Solution

The third proportional to 98,714 and 156,819 is: 249,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 156,819 = 156,819 : x
  2. Step 2: Convert to fraction form
    98,714/156,819 = 156,819/x
  3. Step 3: Cross multiply
    98,714x = 156,819 × 156,819
  4. Step 4: Simplify right side
    98,714x = 24,592,198,761
  5. Step 5: Solve for x
    x = 24,592,198,761/98,714
  6. Step 6: Final answer
    x = 249,125.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.