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Finding the Third Proportional to 59,804 and 81,254.50

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Solution

The third proportional to 59,804 and 81,254.50 is: 110,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,804 : 81,254.50 = 81,254.50 : x
  2. Step 2: Convert to fraction form
    59,804/81,254.50 = 81,254.50/x
  3. Step 3: Cross multiply
    59,804x = 81,254.50 × 81,254.50
  4. Step 4: Simplify right side
    59,804x = 6,602,293,770.25
  5. Step 5: Solve for x
    x = 6,602,293,770.25/59,804
  6. Step 6: Final answer
    x = 110,398.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.