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Finding the Third Proportional to 60,351 and 90,411

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Solution

The third proportional to 60,351 and 90,411 is: 135,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,351 : 90,411 = 90,411 : x
  2. Step 2: Convert to fraction form
    60,351/90,411 = 90,411/x
  3. Step 3: Cross multiply
    60,351x = 90,411 × 90,411
  4. Step 4: Simplify right side
    60,351x = 8,174,148,921
  5. Step 5: Solve for x
    x = 8,174,148,921/60,351
  6. Step 6: Final answer
    x = 135,443.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.