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Finding the Third Proportional to 67,095.75 and 103,762.13

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Solution

The third proportional to 67,095.75 and 103,762.13 is: 160,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,095.75 : 103,762.13 = 103,762.13 : x
  2. Step 2: Convert to fraction form
    67,095.75/103,762.13 = 103,762.13/x
  3. Step 3: Cross multiply
    67,095.75x = 103,762.13 × 103,762.13
  4. Step 4: Simplify right side
    67,095.75x = 10,766,578,584.52
  5. Step 5: Solve for x
    x = 10,766,578,584.52/67,095.75
  6. Step 6: Final answer
    x = 160,465.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.