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Finding the Third Proportional to 94,197 and 141,297

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Solution

The third proportional to 94,197 and 141,297 is: 211,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,197 : 141,297 = 141,297 : x
  2. Step 2: Convert to fraction form
    94,197/141,297 = 141,297/x
  3. Step 3: Cross multiply
    94,197x = 141,297 × 141,297
  4. Step 4: Simplify right side
    94,197x = 19,964,842,209
  5. Step 5: Solve for x
    x = 19,964,842,209/94,197
  6. Step 6: Final answer
    x = 211,947.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.