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Finding the Third Proportional to 35,901 and 78,444

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Solution

The third proportional to 35,901 and 78,444 is: 171,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901 : 78,444 = 78,444 : x
  2. Step 2: Convert to fraction form
    35,901/78,444 = 78,444/x
  3. Step 3: Cross multiply
    35,901x = 78,444 × 78,444
  4. Step 4: Simplify right side
    35,901x = 6,153,461,136
  5. Step 5: Solve for x
    x = 6,153,461,136/35,901
  6. Step 6: Final answer
    x = 171,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.