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Finding the Third Proportional to 49,135 and 74,111

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Solution

The third proportional to 49,135 and 74,111 is: 111,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135 : 74,111 = 74,111 : x
  2. Step 2: Convert to fraction form
    49,135/74,111 = 74,111/x
  3. Step 3: Cross multiply
    49,135x = 74,111 × 74,111
  4. Step 4: Simplify right side
    49,135x = 5,492,440,321
  5. Step 5: Solve for x
    x = 5,492,440,321/49,135
  6. Step 6: Final answer
    x = 111,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.