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Finding the Third Proportional to 61,584 and 133,024

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Solution

The third proportional to 61,584 and 133,024 is: 287,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584 : 133,024 = 133,024 : x
  2. Step 2: Convert to fraction form
    61,584/133,024 = 133,024/x
  3. Step 3: Cross multiply
    61,584x = 133,024 × 133,024
  4. Step 4: Simplify right side
    61,584x = 17,695,384,576
  5. Step 5: Solve for x
    x = 17,695,384,576/61,584
  6. Step 6: Final answer
    x = 287,337.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.