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Finding the Third Proportional to 67,266 and 101,411

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Solution

The third proportional to 67,266 and 101,411 is: 152,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266 : 101,411 = 101,411 : x
  2. Step 2: Convert to fraction form
    67,266/101,411 = 101,411/x
  3. Step 3: Cross multiply
    67,266x = 101,411 × 101,411
  4. Step 4: Simplify right side
    67,266x = 10,284,190,921
  5. Step 5: Solve for x
    x = 10,284,190,921/67,266
  6. Step 6: Final answer
    x = 152,888.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.