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Finding the Third Proportional to 52,616 and 112,708

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Solution

The third proportional to 52,616 and 112,708 is: 241,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616 : 112,708 = 112,708 : x
  2. Step 2: Convert to fraction form
    52,616/112,708 = 112,708/x
  3. Step 3: Cross multiply
    52,616x = 112,708 × 112,708
  4. Step 4: Simplify right side
    52,616x = 12,703,093,264
  5. Step 5: Solve for x
    x = 12,703,093,264/52,616
  6. Step 6: Final answer
    x = 241,430.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.