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Finding the Third Proportional to 42,614 and 92,709

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Solution

The third proportional to 42,614 and 92,709 is: 201,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614 : 92,709 = 92,709 : x
  2. Step 2: Convert to fraction form
    42,614/92,709 = 92,709/x
  3. Step 3: Cross multiply
    42,614x = 92,709 × 92,709
  4. Step 4: Simplify right side
    42,614x = 8,594,958,681
  5. Step 5: Solve for x
    x = 8,594,958,681/42,614
  6. Step 6: Final answer
    x = 201,693.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.