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Finding the Third Proportional to 65,574 and 143,757

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Solution

The third proportional to 65,574 and 143,757 is: 315,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,574 : 143,757 = 143,757 : x
  2. Step 2: Convert to fraction form
    65,574/143,757 = 143,757/x
  3. Step 3: Cross multiply
    65,574x = 143,757 × 143,757
  4. Step 4: Simplify right side
    65,574x = 20,666,075,049
  5. Step 5: Solve for x
    x = 20,666,075,049/65,574
  6. Step 6: Final answer
    x = 315,156.54

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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.