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Finding the Third Proportional to 49,188 and 74,685

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Solution

The third proportional to 49,188 and 74,685 is: 113,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188 : 74,685 = 74,685 : x
  2. Step 2: Convert to fraction form
    49,188/74,685 = 74,685/x
  3. Step 3: Cross multiply
    49,188x = 74,685 × 74,685
  4. Step 4: Simplify right side
    49,188x = 5,577,849,225
  5. Step 5: Solve for x
    x = 5,577,849,225/49,188
  6. Step 6: Final answer
    x = 113,398.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.