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Finding the Third Proportional to 127,972 and 191,982

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Solution

The third proportional to 127,972 and 191,982 is: 288,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972 : 191,982 = 191,982 : x
  2. Step 2: Convert to fraction form
    127,972/191,982 = 191,982/x
  3. Step 3: Cross multiply
    127,972x = 191,982 × 191,982
  4. Step 4: Simplify right side
    127,972x = 36,857,088,324
  5. Step 5: Solve for x
    x = 36,857,088,324/127,972
  6. Step 6: Final answer
    x = 288,009.00

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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.