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Finding the Third Proportional to 62,274 and 133,618.50

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Solution

The third proportional to 62,274 and 133,618.50 is: 286,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,274 : 133,618.50 = 133,618.50 : x
  2. Step 2: Convert to fraction form
    62,274/133,618.50 = 133,618.50/x
  3. Step 3: Cross multiply
    62,274x = 133,618.50 × 133,618.50
  4. Step 4: Simplify right side
    62,274x = 17,853,903,542.25
  5. Step 5: Solve for x
    x = 17,853,903,542.25/62,274
  6. Step 6: Final answer
    x = 286,699.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.