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Finding the Third Proportional to 62,076 and 133,993.50

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Solution

The third proportional to 62,076 and 133,993.50 is: 289,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,076 : 133,993.50 = 133,993.50 : x
  2. Step 2: Convert to fraction form
    62,076/133,993.50 = 133,993.50/x
  3. Step 3: Cross multiply
    62,076x = 133,993.50 × 133,993.50
  4. Step 4: Simplify right side
    62,076x = 17,954,258,042.25
  5. Step 5: Solve for x
    x = 17,954,258,042.25/62,076
  6. Step 6: Final answer
    x = 289,230.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.