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Finding the Third Proportional to 42,480 and 95,922

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Solution

The third proportional to 42,480 and 95,922 is: 216,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480 : 95,922 = 95,922 : x
  2. Step 2: Convert to fraction form
    42,480/95,922 = 95,922/x
  3. Step 3: Cross multiply
    42,480x = 95,922 × 95,922
  4. Step 4: Simplify right side
    42,480x = 9,201,030,084
  5. Step 5: Solve for x
    x = 9,201,030,084/42,480
  6. Step 6: Final answer
    x = 216,596.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.