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Finding the Third Proportional to 62,362.69 and 96,004.69

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Solution

The third proportional to 62,362.69 and 96,004.69 is: 147,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,362.69 : 96,004.69 = 96,004.69 : x
  2. Step 2: Convert to fraction form
    62,362.69/96,004.69 = 96,004.69/x
  3. Step 3: Cross multiply
    62,362.69x = 96,004.69 × 96,004.69
  4. Step 4: Simplify right side
    62,362.69x = 9,216,900,021.97
  5. Step 5: Solve for x
    x = 9,216,900,021.97/62,362.69
  6. Step 6: Final answer
    x = 147,795.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.