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Finding the Third Proportional to 65,513 and 143,017

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Solution

The third proportional to 65,513 and 143,017 is: 312,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513 : 143,017 = 143,017 : x
  2. Step 2: Convert to fraction form
    65,513/143,017 = 143,017/x
  3. Step 3: Cross multiply
    65,513x = 143,017 × 143,017
  4. Step 4: Simplify right side
    65,513x = 20,453,862,289
  5. Step 5: Solve for x
    x = 20,453,862,289/65,513
  6. Step 6: Final answer
    x = 312,210.74

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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.