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Finding the Third Proportional to 65,410 and 145,624

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Solution

The third proportional to 65,410 and 145,624 is: 324,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,410 : 145,624 = 145,624 : x
  2. Step 2: Convert to fraction form
    65,410/145,624 = 145,624/x
  3. Step 3: Cross multiply
    65,410x = 145,624 × 145,624
  4. Step 4: Simplify right side
    65,410x = 21,206,349,376
  5. Step 5: Solve for x
    x = 21,206,349,376/65,410
  6. Step 6: Final answer
    x = 324,206.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.