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Finding the Third Proportional to 65,624 and 143,277

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Solution

The third proportional to 65,624 and 143,277 is: 312,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,624 : 143,277 = 143,277 : x
  2. Step 2: Convert to fraction form
    65,624/143,277 = 143,277/x
  3. Step 3: Cross multiply
    65,624x = 143,277 × 143,277
  4. Step 4: Simplify right side
    65,624x = 20,528,298,729
  5. Step 5: Solve for x
    x = 20,528,298,729/65,624
  6. Step 6: Final answer
    x = 312,816.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.