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Finding the Third Proportional to 75,718.41 and 159,284.81

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Solution

The third proportional to 75,718.41 and 159,284.81 is: 335,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718.41 : 159,284.81 = 159,284.81 : x
  2. Step 2: Convert to fraction form
    75,718.41/159,284.81 = 159,284.81/x
  3. Step 3: Cross multiply
    75,718.41x = 159,284.81 × 159,284.81
  4. Step 4: Simplify right side
    75,718.41x = 25,371,651,493.16
  5. Step 5: Solve for x
    x = 25,371,651,493.16/75,718.41
  6. Step 6: Final answer
    x = 335,079.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.