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Finding the Third Proportional to 94,332 and 140,216

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Solution

The third proportional to 94,332 and 140,216 is: 208,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,332 : 140,216 = 140,216 : x
  2. Step 2: Convert to fraction form
    94,332/140,216 = 140,216/x
  3. Step 3: Cross multiply
    94,332x = 140,216 × 140,216
  4. Step 4: Simplify right side
    94,332x = 19,660,526,656
  5. Step 5: Solve for x
    x = 19,660,526,656/94,332
  6. Step 6: Final answer
    x = 208,418.42

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Why These Related Problems?

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