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Finding the Third Proportional to 52,010 and 112,660

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Solution

The third proportional to 52,010 and 112,660 is: 244,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 112,660 = 112,660 : x
  2. Step 2: Convert to fraction form
    52,010/112,660 = 112,660/x
  3. Step 3: Cross multiply
    52,010x = 112,660 × 112,660
  4. Step 4: Simplify right side
    52,010x = 12,692,275,600
  5. Step 5: Solve for x
    x = 12,692,275,600/52,010
  6. Step 6: Final answer
    x = 244,035.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.