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Finding the Third Proportional to 94,327 and 142,705

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Solution

The third proportional to 94,327 and 142,705 is: 215,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,327 : 142,705 = 142,705 : x
  2. Step 2: Convert to fraction form
    94,327/142,705 = 142,705/x
  3. Step 3: Cross multiply
    94,327x = 142,705 × 142,705
  4. Step 4: Simplify right side
    94,327x = 20,364,717,025
  5. Step 5: Solve for x
    x = 20,364,717,025/94,327
  6. Step 6: Final answer
    x = 215,894.89

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