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Finding the Third Proportional to 104,264 and 148,556

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Solution

The third proportional to 104,264 and 148,556 is: 211,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,264 : 148,556 = 148,556 : x
  2. Step 2: Convert to fraction form
    104,264/148,556 = 148,556/x
  3. Step 3: Cross multiply
    104,264x = 148,556 × 148,556
  4. Step 4: Simplify right side
    104,264x = 22,068,885,136
  5. Step 5: Solve for x
    x = 22,068,885,136/104,264
  6. Step 6: Final answer
    x = 211,663.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.