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Finding the Third Proportional to 62,357.25 and 136,378.50

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Solution

The third proportional to 62,357.25 and 136,378.50 is: 298,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,357.25 : 136,378.50 = 136,378.50 : x
  2. Step 2: Convert to fraction form
    62,357.25/136,378.50 = 136,378.50/x
  3. Step 3: Cross multiply
    62,357.25x = 136,378.50 × 136,378.50
  4. Step 4: Simplify right side
    62,357.25x = 18,599,095,262.25
  5. Step 5: Solve for x
    x = 18,599,095,262.25/62,357.25
  6. Step 6: Final answer
    x = 298,266.77

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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.