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Finding the Third Proportional to 52,751.25 and 117,166.50

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Solution

The third proportional to 52,751.25 and 117,166.50 is: 260,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,751.25 : 117,166.50 = 117,166.50 : x
  2. Step 2: Convert to fraction form
    52,751.25/117,166.50 = 117,166.50/x
  3. Step 3: Cross multiply
    52,751.25x = 117,166.50 × 117,166.50
  4. Step 4: Simplify right side
    52,751.25x = 13,727,988,722.25
  5. Step 5: Solve for x
    x = 13,727,988,722.25/52,751.25
  6. Step 6: Final answer
    x = 260,240.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.