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Finding the Third Proportional to 94,974 and 147,051

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Solution

The third proportional to 94,974 and 147,051 is: 227,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,974 : 147,051 = 147,051 : x
  2. Step 2: Convert to fraction form
    94,974/147,051 = 147,051/x
  3. Step 3: Cross multiply
    94,974x = 147,051 × 147,051
  4. Step 4: Simplify right side
    94,974x = 21,623,996,601
  5. Step 5: Solve for x
    x = 21,623,996,601/94,974
  6. Step 6: Final answer
    x = 227,683.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.