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Finding the Third Proportional to 127,872 and 191,810

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Solution

The third proportional to 127,872 and 191,810 is: 287,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 191,810 = 191,810 : x
  2. Step 2: Convert to fraction form
    127,872/191,810 = 191,810/x
  3. Step 3: Cross multiply
    127,872x = 191,810 × 191,810
  4. Step 4: Simplify right side
    127,872x = 36,791,076,100
  5. Step 5: Solve for x
    x = 36,791,076,100/127,872
  6. Step 6: Final answer
    x = 287,718.00

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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.