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Finding the Third Proportional to 35,968.50 and 77,121

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Solution

The third proportional to 35,968.50 and 77,121 is: 165,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.50 : 77,121 = 77,121 : x
  2. Step 2: Convert to fraction form
    35,968.50/77,121 = 77,121/x
  3. Step 3: Cross multiply
    35,968.50x = 77,121 × 77,121
  4. Step 4: Simplify right side
    35,968.50x = 5,947,648,641
  5. Step 5: Solve for x
    x = 5,947,648,641/35,968.50
  6. Step 6: Final answer
    x = 165,357.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.