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Finding the Third Proportional to 62,592 and 135,024

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Solution

The third proportional to 62,592 and 135,024 is: 291,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,592 : 135,024 = 135,024 : x
  2. Step 2: Convert to fraction form
    62,592/135,024 = 135,024/x
  3. Step 3: Cross multiply
    62,592x = 135,024 × 135,024
  4. Step 4: Simplify right side
    62,592x = 18,231,480,576
  5. Step 5: Solve for x
    x = 18,231,480,576/62,592
  6. Step 6: Final answer
    x = 291,274.93

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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.