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Finding the Third Proportional to 58,530 and 124,351.50

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Solution

The third proportional to 58,530 and 124,351.50 is: 264,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,530 : 124,351.50 = 124,351.50 : x
  2. Step 2: Convert to fraction form
    58,530/124,351.50 = 124,351.50/x
  3. Step 3: Cross multiply
    58,530x = 124,351.50 × 124,351.50
  4. Step 4: Simplify right side
    58,530x = 15,463,295,552.25
  5. Step 5: Solve for x
    x = 15,463,295,552.25/58,530
  6. Step 6: Final answer
    x = 264,194.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.