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Finding the Third Proportional to 49,334 and 73,710

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Solution

The third proportional to 49,334 and 73,710 is: 110,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,334 : 73,710 = 73,710 : x
  2. Step 2: Convert to fraction form
    49,334/73,710 = 73,710/x
  3. Step 3: Cross multiply
    49,334x = 73,710 × 73,710
  4. Step 4: Simplify right side
    49,334x = 5,433,164,100
  5. Step 5: Solve for x
    x = 5,433,164,100/49,334
  6. Step 6: Final answer
    x = 110,130.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.