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Finding the Third Proportional to 98,712 and 150,520

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Solution

The third proportional to 98,712 and 150,520 is: 229,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712 : 150,520 = 150,520 : x
  2. Step 2: Convert to fraction form
    98,712/150,520 = 150,520/x
  3. Step 3: Cross multiply
    98,712x = 150,520 × 150,520
  4. Step 4: Simplify right side
    98,712x = 22,656,270,400
  5. Step 5: Solve for x
    x = 22,656,270,400/98,712
  6. Step 6: Final answer
    x = 229,518.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.