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Finding the Third Proportional to 94,854 and 137,385

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Solution

The third proportional to 94,854 and 137,385 is: 198,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,854 : 137,385 = 137,385 : x
  2. Step 2: Convert to fraction form
    94,854/137,385 = 137,385/x
  3. Step 3: Cross multiply
    94,854x = 137,385 × 137,385
  4. Step 4: Simplify right side
    94,854x = 18,874,638,225
  5. Step 5: Solve for x
    x = 18,874,638,225/94,854
  6. Step 6: Final answer
    x = 198,986.21

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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.