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Finding the Third Proportional to 93,884 and 141,624

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Solution

The third proportional to 93,884 and 141,624 is: 213,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,884 : 141,624 = 141,624 : x
  2. Step 2: Convert to fraction form
    93,884/141,624 = 141,624/x
  3. Step 3: Cross multiply
    93,884x = 141,624 × 141,624
  4. Step 4: Simplify right side
    93,884x = 20,057,357,376
  5. Step 5: Solve for x
    x = 20,057,357,376/93,884
  6. Step 6: Final answer
    x = 213,639.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.