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Finding the Third Proportional to 65,202 and 143,076

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Solution

The third proportional to 65,202 and 143,076 is: 313,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202 : 143,076 = 143,076 : x
  2. Step 2: Convert to fraction form
    65,202/143,076 = 143,076/x
  3. Step 3: Cross multiply
    65,202x = 143,076 × 143,076
  4. Step 4: Simplify right side
    65,202x = 20,470,741,776
  5. Step 5: Solve for x
    x = 20,470,741,776/65,202
  6. Step 6: Final answer
    x = 313,958.80

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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.