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Finding the Third Proportional to 43,679 and 93,078

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Solution

The third proportional to 43,679 and 93,078 is: 198,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,679 : 93,078 = 93,078 : x
  2. Step 2: Convert to fraction form
    43,679/93,078 = 93,078/x
  3. Step 3: Cross multiply
    43,679x = 93,078 × 93,078
  4. Step 4: Simplify right side
    43,679x = 8,663,514,084
  5. Step 5: Solve for x
    x = 8,663,514,084/43,679
  6. Step 6: Final answer
    x = 198,345.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.