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Finding the Third Proportional to 94,852 and 137,382

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Solution

The third proportional to 94,852 and 137,382 is: 198,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,852 : 137,382 = 137,382 : x
  2. Step 2: Convert to fraction form
    94,852/137,382 = 137,382/x
  3. Step 3: Cross multiply
    94,852x = 137,382 × 137,382
  4. Step 4: Simplify right side
    94,852x = 18,873,813,924
  5. Step 5: Solve for x
    x = 18,873,813,924/94,852
  6. Step 6: Final answer
    x = 198,981.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.