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Finding the Third Proportional to 127,415 and 191,442

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Solution

The third proportional to 127,415 and 191,442 is: 287,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,415 : 191,442 = 191,442 : x
  2. Step 2: Convert to fraction form
    127,415/191,442 = 191,442/x
  3. Step 3: Cross multiply
    127,415x = 191,442 × 191,442
  4. Step 4: Simplify right side
    127,415x = 36,650,039,364
  5. Step 5: Solve for x
    x = 36,650,039,364/127,415
  6. Step 6: Final answer
    x = 287,643.05

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