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Finding the Third Proportional to 52,068 and 114,012

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Solution

The third proportional to 52,068 and 114,012 is: 249,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,068 : 114,012 = 114,012 : x
  2. Step 2: Convert to fraction form
    52,068/114,012 = 114,012/x
  3. Step 3: Cross multiply
    52,068x = 114,012 × 114,012
  4. Step 4: Simplify right side
    52,068x = 12,998,736,144
  5. Step 5: Solve for x
    x = 12,998,736,144/52,068
  6. Step 6: Final answer
    x = 249,649.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.