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Finding the Third Proportional to 49,509 and 77,301

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Solution

The third proportional to 49,509 and 77,301 is: 120,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509 : 77,301 = 77,301 : x
  2. Step 2: Convert to fraction form
    49,509/77,301 = 77,301/x
  3. Step 3: Cross multiply
    49,509x = 77,301 × 77,301
  4. Step 4: Simplify right side
    49,509x = 5,975,444,601
  5. Step 5: Solve for x
    x = 5,975,444,601/49,509
  6. Step 6: Final answer
    x = 120,694.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.