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Finding the Third Proportional to 94,896 and 142,282

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Solution

The third proportional to 94,896 and 142,282 is: 213,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,896 : 142,282 = 142,282 : x
  2. Step 2: Convert to fraction form
    94,896/142,282 = 142,282/x
  3. Step 3: Cross multiply
    94,896x = 142,282 × 142,282
  4. Step 4: Simplify right side
    94,896x = 20,244,167,524
  5. Step 5: Solve for x
    x = 20,244,167,524/94,896
  6. Step 6: Final answer
    x = 213,330.04

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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.