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Finding the Third Proportional to 85,275 and 127,913

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Solution

The third proportional to 85,275 and 127,913 is: 191,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,275 : 127,913 = 127,913 : x
  2. Step 2: Convert to fraction form
    85,275/127,913 = 127,913/x
  3. Step 3: Cross multiply
    85,275x = 127,913 × 127,913
  4. Step 4: Simplify right side
    85,275x = 16,361,735,569
  5. Step 5: Solve for x
    x = 16,361,735,569/85,275
  6. Step 6: Final answer
    x = 191,870.25

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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.