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Finding the Third Proportional to 42,176 and 67,209

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Solution

The third proportional to 42,176 and 67,209 is: 107,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176 : 67,209 = 67,209 : x
  2. Step 2: Convert to fraction form
    42,176/67,209 = 67,209/x
  3. Step 3: Cross multiply
    42,176x = 67,209 × 67,209
  4. Step 4: Simplify right side
    42,176x = 4,517,049,681
  5. Step 5: Solve for x
    x = 4,517,049,681/42,176
  6. Step 6: Final answer
    x = 107,100.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.