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Finding the Third Proportional to 68,347.50 and 141,189

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Solution

The third proportional to 68,347.50 and 141,189 is: 291,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,347.50 : 141,189 = 141,189 : x
  2. Step 2: Convert to fraction form
    68,347.50/141,189 = 141,189/x
  3. Step 3: Cross multiply
    68,347.50x = 141,189 × 141,189
  4. Step 4: Simplify right side
    68,347.50x = 19,934,333,721
  5. Step 5: Solve for x
    x = 19,934,333,721/68,347.50
  6. Step 6: Final answer
    x = 291,661.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.