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Finding the Third Proportional to 82,305.75 and 123,417

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Solution

The third proportional to 82,305.75 and 123,417 is: 185,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305.75 : 123,417 = 123,417 : x
  2. Step 2: Convert to fraction form
    82,305.75/123,417 = 123,417/x
  3. Step 3: Cross multiply
    82,305.75x = 123,417 × 123,417
  4. Step 4: Simplify right side
    82,305.75x = 15,231,755,889
  5. Step 5: Solve for x
    x = 15,231,755,889/82,305.75
  6. Step 6: Final answer
    x = 185,063.08

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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.