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Finding the Third Proportional to 34,143.75 and 74,514

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Solution

The third proportional to 34,143.75 and 74,514 is: 162,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.75 : 74,514 = 74,514 : x
  2. Step 2: Convert to fraction form
    34,143.75/74,514 = 74,514/x
  3. Step 3: Cross multiply
    34,143.75x = 74,514 × 74,514
  4. Step 4: Simplify right side
    34,143.75x = 5,552,336,196
  5. Step 5: Solve for x
    x = 5,552,336,196/34,143.75
  6. Step 6: Final answer
    x = 162,616.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.