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Finding the Third Proportional to 106,724 and 247,078

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Solution

The third proportional to 106,724 and 247,078 is: 572,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,724 : 247,078 = 247,078 : x
  2. Step 2: Convert to fraction form
    106,724/247,078 = 247,078/x
  3. Step 3: Cross multiply
    106,724x = 247,078 × 247,078
  4. Step 4: Simplify right side
    106,724x = 61,047,538,084
  5. Step 5: Solve for x
    x = 61,047,538,084/106,724
  6. Step 6: Final answer
    x = 572,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.