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Finding the Third Proportional to 65,464 and 143,672

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Solution

The third proportional to 65,464 and 143,672 is: 315,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464 : 143,672 = 143,672 : x
  2. Step 2: Convert to fraction form
    65,464/143,672 = 143,672/x
  3. Step 3: Cross multiply
    65,464x = 143,672 × 143,672
  4. Step 4: Simplify right side
    65,464x = 20,641,643,584
  5. Step 5: Solve for x
    x = 20,641,643,584/65,464
  6. Step 6: Final answer
    x = 315,312.90

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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.