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Finding the Third Proportional to 53,616 and 78,879

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Solution

The third proportional to 53,616 and 78,879 is: 116,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,616 : 78,879 = 78,879 : x
  2. Step 2: Convert to fraction form
    53,616/78,879 = 78,879/x
  3. Step 3: Cross multiply
    53,616x = 78,879 × 78,879
  4. Step 4: Simplify right side
    53,616x = 6,221,896,641
  5. Step 5: Solve for x
    x = 6,221,896,641/53,616
  6. Step 6: Final answer
    x = 116,045.52

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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.