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Finding the Third Proportional to 62,254 and 96,556

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Solution

The third proportional to 62,254 and 96,556 is: 149,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,254 : 96,556 = 96,556 : x
  2. Step 2: Convert to fraction form
    62,254/96,556 = 96,556/x
  3. Step 3: Cross multiply
    62,254x = 96,556 × 96,556
  4. Step 4: Simplify right side
    62,254x = 9,323,061,136
  5. Step 5: Solve for x
    x = 9,323,061,136/62,254
  6. Step 6: Final answer
    x = 149,758.43

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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.