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Finding the Third Proportional to 89,259.75 and 122,395.50

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Solution

The third proportional to 89,259.75 and 122,395.50 is: 167,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,259.75 : 122,395.50 = 122,395.50 : x
  2. Step 2: Convert to fraction form
    89,259.75/122,395.50 = 122,395.50/x
  3. Step 3: Cross multiply
    89,259.75x = 122,395.50 × 122,395.50
  4. Step 4: Simplify right side
    89,259.75x = 14,980,658,420.25
  5. Step 5: Solve for x
    x = 14,980,658,420.25/89,259.75
  6. Step 6: Final answer
    x = 167,832.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.