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Finding the Third Proportional to 62,698 and 134,024

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Solution

The third proportional to 62,698 and 134,024 is: 286,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,698 : 134,024 = 134,024 : x
  2. Step 2: Convert to fraction form
    62,698/134,024 = 134,024/x
  3. Step 3: Cross multiply
    62,698x = 134,024 × 134,024
  4. Step 4: Simplify right side
    62,698x = 17,962,432,576
  5. Step 5: Solve for x
    x = 17,962,432,576/62,698
  6. Step 6: Final answer
    x = 286,491.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.