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Finding the Third Proportional to 42,729 and 90,381

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Solution

The third proportional to 42,729 and 90,381 is: 191,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,729 : 90,381 = 90,381 : x
  2. Step 2: Convert to fraction form
    42,729/90,381 = 90,381/x
  3. Step 3: Cross multiply
    42,729x = 90,381 × 90,381
  4. Step 4: Simplify right side
    42,729x = 8,168,725,161
  5. Step 5: Solve for x
    x = 8,168,725,161/42,729
  6. Step 6: Final answer
    x = 191,175.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.