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Finding the Third Proportional to 98,523 and 156,033

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Solution

The third proportional to 98,523 and 156,033 is: 247,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 156,033 = 156,033 : x
  2. Step 2: Convert to fraction form
    98,523/156,033 = 156,033/x
  3. Step 3: Cross multiply
    98,523x = 156,033 × 156,033
  4. Step 4: Simplify right side
    98,523x = 24,346,297,089
  5. Step 5: Solve for x
    x = 24,346,297,089/98,523
  6. Step 6: Final answer
    x = 247,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.