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Finding the Third Proportional to 42,576 and 99,444

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Solution

The third proportional to 42,576 and 99,444 is: 232,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576 : 99,444 = 99,444 : x
  2. Step 2: Convert to fraction form
    42,576/99,444 = 99,444/x
  3. Step 3: Cross multiply
    42,576x = 99,444 × 99,444
  4. Step 4: Simplify right side
    42,576x = 9,889,109,136
  5. Step 5: Solve for x
    x = 9,889,109,136/42,576
  6. Step 6: Final answer
    x = 232,269.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.