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Finding the Third Proportional to 102,221 and 162,548

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Solution

The third proportional to 102,221 and 162,548 is: 258,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,221 : 162,548 = 162,548 : x
  2. Step 2: Convert to fraction form
    102,221/162,548 = 162,548/x
  3. Step 3: Cross multiply
    102,221x = 162,548 × 162,548
  4. Step 4: Simplify right side
    102,221x = 26,421,852,304
  5. Step 5: Solve for x
    x = 26,421,852,304/102,221
  6. Step 6: Final answer
    x = 258,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.