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Finding the Third Proportional to 124,210.50 and 166,289.25

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Solution

The third proportional to 124,210.50 and 166,289.25 is: 222,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,210.50 : 166,289.25 = 166,289.25 : x
  2. Step 2: Convert to fraction form
    124,210.50/166,289.25 = 166,289.25/x
  3. Step 3: Cross multiply
    124,210.50x = 166,289.25 × 166,289.25
  4. Step 4: Simplify right side
    124,210.50x = 27,652,114,665.56
  5. Step 5: Solve for x
    x = 27,652,114,665.56/124,210.50
  6. Step 6: Final answer
    x = 222,623.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.