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Finding the Third Proportional to 65,746 and 106,816

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Solution

The third proportional to 65,746 and 106,816 is: 173,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746 : 106,816 = 106,816 : x
  2. Step 2: Convert to fraction form
    65,746/106,816 = 106,816/x
  3. Step 3: Cross multiply
    65,746x = 106,816 × 106,816
  4. Step 4: Simplify right side
    65,746x = 11,409,657,856
  5. Step 5: Solve for x
    x = 11,409,657,856/65,746
  6. Step 6: Final answer
    x = 173,541.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.