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Finding the Third Proportional to 98,922 and 148,575

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Solution

The third proportional to 98,922 and 148,575 is: 223,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,922 : 148,575 = 148,575 : x
  2. Step 2: Convert to fraction form
    98,922/148,575 = 148,575/x
  3. Step 3: Cross multiply
    98,922x = 148,575 × 148,575
  4. Step 4: Simplify right side
    98,922x = 22,074,530,625
  5. Step 5: Solve for x
    x = 22,074,530,625/98,922
  6. Step 6: Final answer
    x = 223,150.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.