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Finding the Third Proportional to 65,461 and 143,666

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Solution

The third proportional to 65,461 and 143,666 is: 315,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461 : 143,666 = 143,666 : x
  2. Step 2: Convert to fraction form
    65,461/143,666 = 143,666/x
  3. Step 3: Cross multiply
    65,461x = 143,666 × 143,666
  4. Step 4: Simplify right side
    65,461x = 20,639,919,556
  5. Step 5: Solve for x
    x = 20,639,919,556/65,461
  6. Step 6: Final answer
    x = 315,301.01

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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.