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Finding the Third Proportional to 83,664 and 163,124

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Solution

The third proportional to 83,664 and 163,124 is: 318,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,664 : 163,124 = 163,124 : x
  2. Step 2: Convert to fraction form
    83,664/163,124 = 163,124/x
  3. Step 3: Cross multiply
    83,664x = 163,124 × 163,124
  4. Step 4: Simplify right side
    83,664x = 26,609,439,376
  5. Step 5: Solve for x
    x = 26,609,439,376/83,664
  6. Step 6: Final answer
    x = 318,051.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.