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Finding the Third Proportional to 96,417 and 149,271

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Solution

The third proportional to 96,417 and 149,271 is: 231,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,417 : 149,271 = 149,271 : x
  2. Step 2: Convert to fraction form
    96,417/149,271 = 149,271/x
  3. Step 3: Cross multiply
    96,417x = 149,271 × 149,271
  4. Step 4: Simplify right side
    96,417x = 22,281,831,441
  5. Step 5: Solve for x
    x = 22,281,831,441/96,417
  6. Step 6: Final answer
    x = 231,098.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.