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Finding the Third Proportional to 94,718 and 141,429

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Solution

The third proportional to 94,718 and 141,429 is: 211,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,718 : 141,429 = 141,429 : x
  2. Step 2: Convert to fraction form
    94,718/141,429 = 141,429/x
  3. Step 3: Cross multiply
    94,718x = 141,429 × 141,429
  4. Step 4: Simplify right side
    94,718x = 20,002,162,041
  5. Step 5: Solve for x
    x = 20,002,162,041/94,718
  6. Step 6: Final answer
    x = 211,175.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.