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Finding the Third Proportional to 127,932 and 191,913

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Solution

The third proportional to 127,932 and 191,913 is: 287,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,932 : 191,913 = 191,913 : x
  2. Step 2: Convert to fraction form
    127,932/191,913 = 191,913/x
  3. Step 3: Cross multiply
    127,932x = 191,913 × 191,913
  4. Step 4: Simplify right side
    127,932x = 36,830,599,569
  5. Step 5: Solve for x
    x = 36,830,599,569/127,932
  6. Step 6: Final answer
    x = 287,892.00

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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.