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Finding the Third Proportional to 67,365 and 143,878

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Solution

The third proportional to 67,365 and 143,878 is: 307,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,365 : 143,878 = 143,878 : x
  2. Step 2: Convert to fraction form
    67,365/143,878 = 143,878/x
  3. Step 3: Cross multiply
    67,365x = 143,878 × 143,878
  4. Step 4: Simplify right side
    67,365x = 20,700,878,884
  5. Step 5: Solve for x
    x = 20,700,878,884/67,365
  6. Step 6: Final answer
    x = 307,294.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.