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Finding the Third Proportional to 65,651 and 143,184

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Solution

The third proportional to 65,651 and 143,184 is: 312,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651 : 143,184 = 143,184 : x
  2. Step 2: Convert to fraction form
    65,651/143,184 = 143,184/x
  3. Step 3: Cross multiply
    65,651x = 143,184 × 143,184
  4. Step 4: Simplify right side
    65,651x = 20,501,657,856
  5. Step 5: Solve for x
    x = 20,501,657,856/65,651
  6. Step 6: Final answer
    x = 312,282.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.