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Finding the Third Proportional to 55,809 and 83,840.06

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Solution

The third proportional to 55,809 and 83,840.06 is: 125,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 83,840.06 = 83,840.06 : x
  2. Step 2: Convert to fraction form
    55,809/83,840.06 = 83,840.06/x
  3. Step 3: Cross multiply
    55,809x = 83,840.06 × 83,840.06
  4. Step 4: Simplify right side
    55,809x = 7,029,156,080.00
  5. Step 5: Solve for x
    x = 7,029,156,080.00/55,809
  6. Step 6: Final answer
    x = 125,950.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.