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Finding the Third Proportional to 98,212 and 153,636

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Solution

The third proportional to 98,212 and 153,636 is: 240,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 153,636 = 153,636 : x
  2. Step 2: Convert to fraction form
    98,212/153,636 = 153,636/x
  3. Step 3: Cross multiply
    98,212x = 153,636 × 153,636
  4. Step 4: Simplify right side
    98,212x = 23,604,020,496
  5. Step 5: Solve for x
    x = 23,604,020,496/98,212
  6. Step 6: Final answer
    x = 240,337.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.