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Finding the Third Proportional to 52,011 and 110,220

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Solution

The third proportional to 52,011 and 110,220 is: 233,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011 : 110,220 = 110,220 : x
  2. Step 2: Convert to fraction form
    52,011/110,220 = 110,220/x
  3. Step 3: Cross multiply
    52,011x = 110,220 × 110,220
  4. Step 4: Simplify right side
    52,011x = 12,148,448,400
  5. Step 5: Solve for x
    x = 12,148,448,400/52,011
  6. Step 6: Final answer
    x = 233,574.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.