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Finding the Third Proportional to 52,365 and 112,112

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Solution

The third proportional to 52,365 and 112,112 is: 240,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365 : 112,112 = 112,112 : x
  2. Step 2: Convert to fraction form
    52,365/112,112 = 112,112/x
  3. Step 3: Cross multiply
    52,365x = 112,112 × 112,112
  4. Step 4: Simplify right side
    52,365x = 12,569,100,544
  5. Step 5: Solve for x
    x = 12,569,100,544/52,365
  6. Step 6: Final answer
    x = 240,028.66

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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.