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Finding the Third Proportional to 59,065 and 85,285.50

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Solution

The third proportional to 59,065 and 85,285.50 is: 123,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,065 : 85,285.50 = 85,285.50 : x
  2. Step 2: Convert to fraction form
    59,065/85,285.50 = 85,285.50/x
  3. Step 3: Cross multiply
    59,065x = 85,285.50 × 85,285.50
  4. Step 4: Simplify right side
    59,065x = 7,273,616,510.25
  5. Step 5: Solve for x
    x = 7,273,616,510.25/59,065
  6. Step 6: Final answer
    x = 123,145.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.