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Finding the Third Proportional to 57,242.50 and 124,341.75

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Solution

The third proportional to 57,242.50 and 124,341.75 is: 270,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.50 : 124,341.75 = 124,341.75 : x
  2. Step 2: Convert to fraction form
    57,242.50/124,341.75 = 124,341.75/x
  3. Step 3: Cross multiply
    57,242.50x = 124,341.75 × 124,341.75
  4. Step 4: Simplify right side
    57,242.50x = 15,460,870,793.06
  5. Step 5: Solve for x
    x = 15,460,870,793.06/57,242.50
  6. Step 6: Final answer
    x = 270,094.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.