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Finding the Third Proportional to 94,187 and 141,281

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Solution

The third proportional to 94,187 and 141,281 is: 211,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,187 : 141,281 = 141,281 : x
  2. Step 2: Convert to fraction form
    94,187/141,281 = 141,281/x
  3. Step 3: Cross multiply
    94,187x = 141,281 × 141,281
  4. Step 4: Simplify right side
    94,187x = 19,960,320,961
  5. Step 5: Solve for x
    x = 19,960,320,961/94,187
  6. Step 6: Final answer
    x = 211,922.25

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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.