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Finding the Third Proportional to 127,874.25 and 193,588.50

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Solution

The third proportional to 127,874.25 and 193,588.50 is: 293,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,874.25 : 193,588.50 = 193,588.50 : x
  2. Step 2: Convert to fraction form
    127,874.25/193,588.50 = 193,588.50/x
  3. Step 3: Cross multiply
    127,874.25x = 193,588.50 × 193,588.50
  4. Step 4: Simplify right side
    127,874.25x = 37,476,507,332.25
  5. Step 5: Solve for x
    x = 37,476,507,332.25/127,874.25
  6. Step 6: Final answer
    x = 293,073.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.