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Finding the Third Proportional to 42,709 and 90,339

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Solution

The third proportional to 42,709 and 90,339 is: 191,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709 : 90,339 = 90,339 : x
  2. Step 2: Convert to fraction form
    42,709/90,339 = 90,339/x
  3. Step 3: Cross multiply
    42,709x = 90,339 × 90,339
  4. Step 4: Simplify right side
    42,709x = 8,161,134,921
  5. Step 5: Solve for x
    x = 8,161,134,921/42,709
  6. Step 6: Final answer
    x = 191,087.01

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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.