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Finding the Third Proportional to 52,616 and 81,628

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Solution

The third proportional to 52,616 and 81,628 is: 126,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616 : 81,628 = 81,628 : x
  2. Step 2: Convert to fraction form
    52,616/81,628 = 81,628/x
  3. Step 3: Cross multiply
    52,616x = 81,628 × 81,628
  4. Step 4: Simplify right side
    52,616x = 6,663,130,384
  5. Step 5: Solve for x
    x = 6,663,130,384/52,616
  6. Step 6: Final answer
    x = 126,636.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.