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Finding the Third Proportional to 65,345 and 143,143

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Solution

The third proportional to 65,345 and 143,143 is: 313,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345 : 143,143 = 143,143 : x
  2. Step 2: Convert to fraction form
    65,345/143,143 = 143,143/x
  3. Step 3: Cross multiply
    65,345x = 143,143 × 143,143
  4. Step 4: Simplify right side
    65,345x = 20,489,918,449
  5. Step 5: Solve for x
    x = 20,489,918,449/65,345
  6. Step 6: Final answer
    x = 313,565.21

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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.