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Finding the Third Proportional to 60,804 and 132,786

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Solution

The third proportional to 60,804 and 132,786 is: 289,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,804 : 132,786 = 132,786 : x
  2. Step 2: Convert to fraction form
    60,804/132,786 = 132,786/x
  3. Step 3: Cross multiply
    60,804x = 132,786 × 132,786
  4. Step 4: Simplify right side
    60,804x = 17,632,121,796
  5. Step 5: Solve for x
    x = 17,632,121,796/60,804
  6. Step 6: Final answer
    x = 289,982.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.