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Finding the Third Proportional to 62,413.13 and 101,399.63

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Solution

The third proportional to 62,413.13 and 101,399.63 is: 164,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,413.13 : 101,399.63 = 101,399.63 : x
  2. Step 2: Convert to fraction form
    62,413.13/101,399.63 = 101,399.63/x
  3. Step 3: Cross multiply
    62,413.13x = 101,399.63 × 101,399.63
  4. Step 4: Simplify right side
    62,413.13x = 10,281,883,950.14
  5. Step 5: Solve for x
    x = 10,281,883,950.14/62,413.13
  6. Step 6: Final answer
    x = 164,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.