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Finding the Third Proportional to 85,383 and 127,382

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Solution

The third proportional to 85,383 and 127,382 is: 190,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383 : 127,382 = 127,382 : x
  2. Step 2: Convert to fraction form
    85,383/127,382 = 127,382/x
  3. Step 3: Cross multiply
    85,383x = 127,382 × 127,382
  4. Step 4: Simplify right side
    85,383x = 16,226,173,924
  5. Step 5: Solve for x
    x = 16,226,173,924/85,383
  6. Step 6: Final answer
    x = 190,039.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.