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Finding the Third Proportional to 94,214 and 141,523

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Solution

The third proportional to 94,214 and 141,523 is: 212,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,214 : 141,523 = 141,523 : x
  2. Step 2: Convert to fraction form
    94,214/141,523 = 141,523/x
  3. Step 3: Cross multiply
    94,214x = 141,523 × 141,523
  4. Step 4: Simplify right side
    94,214x = 20,028,759,529
  5. Step 5: Solve for x
    x = 20,028,759,529/94,214
  6. Step 6: Final answer
    x = 212,587.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.