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Finding the Third Proportional to 77,413.13 and 109,011.75

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Solution

The third proportional to 77,413.13 and 109,011.75 is: 153,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.13 : 109,011.75 = 109,011.75 : x
  2. Step 2: Convert to fraction form
    77,413.13/109,011.75 = 109,011.75/x
  3. Step 3: Cross multiply
    77,413.13x = 109,011.75 × 109,011.75
  4. Step 4: Simplify right side
    77,413.13x = 11,883,561,638.06
  5. Step 5: Solve for x
    x = 11,883,561,638.06/77,413.13
  6. Step 6: Final answer
    x = 153,508.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.