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Finding the Third Proportional to 53,660 and 78,844

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Solution

The third proportional to 53,660 and 78,844 is: 115,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660 : 78,844 = 78,844 : x
  2. Step 2: Convert to fraction form
    53,660/78,844 = 78,844/x
  3. Step 3: Cross multiply
    53,660x = 78,844 × 78,844
  4. Step 4: Simplify right side
    53,660x = 6,216,376,336
  5. Step 5: Solve for x
    x = 6,216,376,336/53,660
  6. Step 6: Final answer
    x = 115,847.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.