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Finding the Third Proportional to 62,172 and 93,024

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Solution

The third proportional to 62,172 and 93,024 is: 139,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,172 : 93,024 = 93,024 : x
  2. Step 2: Convert to fraction form
    62,172/93,024 = 93,024/x
  3. Step 3: Cross multiply
    62,172x = 93,024 × 93,024
  4. Step 4: Simplify right side
    62,172x = 8,653,464,576
  5. Step 5: Solve for x
    x = 8,653,464,576/62,172
  6. Step 6: Final answer
    x = 139,185.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.