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Finding the Third Proportional to 65,184 and 143,040

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Solution

The third proportional to 65,184 and 143,040 is: 313,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 143,040 = 143,040 : x
  2. Step 2: Convert to fraction form
    65,184/143,040 = 143,040/x
  3. Step 3: Cross multiply
    65,184x = 143,040 × 143,040
  4. Step 4: Simplify right side
    65,184x = 20,460,441,600
  5. Step 5: Solve for x
    x = 20,460,441,600/65,184
  6. Step 6: Final answer
    x = 313,887.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.