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Finding the Third Proportional to 81,804 and 120,010

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Solution

The third proportional to 81,804 and 120,010 is: 176,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804 : 120,010 = 120,010 : x
  2. Step 2: Convert to fraction form
    81,804/120,010 = 120,010/x
  3. Step 3: Cross multiply
    81,804x = 120,010 × 120,010
  4. Step 4: Simplify right side
    81,804x = 14,402,400,100
  5. Step 5: Solve for x
    x = 14,402,400,100/81,804
  6. Step 6: Final answer
    x = 176,059.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.