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Finding the Third Proportional to 52,160 and 112,616

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Solution

The third proportional to 52,160 and 112,616 is: 243,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 112,616 = 112,616 : x
  2. Step 2: Convert to fraction form
    52,160/112,616 = 112,616/x
  3. Step 3: Cross multiply
    52,160x = 112,616 × 112,616
  4. Step 4: Simplify right side
    52,160x = 12,682,363,456
  5. Step 5: Solve for x
    x = 12,682,363,456/52,160
  6. Step 6: Final answer
    x = 243,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.