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Finding the Third Proportional to 124,537.50 and 213,050.25

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Solution

The third proportional to 124,537.50 and 213,050.25 is: 364,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,537.50 : 213,050.25 = 213,050.25 : x
  2. Step 2: Convert to fraction form
    124,537.50/213,050.25 = 213,050.25/x
  3. Step 3: Cross multiply
    124,537.50x = 213,050.25 × 213,050.25
  4. Step 4: Simplify right side
    124,537.50x = 45,390,409,025.06
  5. Step 5: Solve for x
    x = 45,390,409,025.06/124,537.50
  6. Step 6: Final answer
    x = 364,471.82

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.