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Finding the Third Proportional to 102,636 and 163,441

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Solution

The third proportional to 102,636 and 163,441 is: 260,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636 : 163,441 = 163,441 : x
  2. Step 2: Convert to fraction form
    102,636/163,441 = 163,441/x
  3. Step 3: Cross multiply
    102,636x = 163,441 × 163,441
  4. Step 4: Simplify right side
    102,636x = 26,712,960,481
  5. Step 5: Solve for x
    x = 26,712,960,481/102,636
  6. Step 6: Final answer
    x = 260,268.92

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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.