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Finding the Third Proportional to 62,224.50 and 134,169

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Solution

The third proportional to 62,224.50 and 134,169 is: 289,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,224.50 : 134,169 = 134,169 : x
  2. Step 2: Convert to fraction form
    62,224.50/134,169 = 134,169/x
  3. Step 3: Cross multiply
    62,224.50x = 134,169 × 134,169
  4. Step 4: Simplify right side
    62,224.50x = 18,001,320,561
  5. Step 5: Solve for x
    x = 18,001,320,561/62,224.50
  6. Step 6: Final answer
    x = 289,296.35

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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.