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Finding the Third Proportional to 98,788 and 156,930

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Solution

The third proportional to 98,788 and 156,930 is: 249,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,788 : 156,930 = 156,930 : x
  2. Step 2: Convert to fraction form
    98,788/156,930 = 156,930/x
  3. Step 3: Cross multiply
    98,788x = 156,930 × 156,930
  4. Step 4: Simplify right side
    98,788x = 24,627,024,900
  5. Step 5: Solve for x
    x = 24,627,024,900/98,788
  6. Step 6: Final answer
    x = 249,291.66

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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.