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Finding the Third Proportional to 124,294.50 and 214,022.25

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Solution

The third proportional to 124,294.50 and 214,022.25 is: 368,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,294.50 : 214,022.25 = 214,022.25 : x
  2. Step 2: Convert to fraction form
    124,294.50/214,022.25 = 214,022.25/x
  3. Step 3: Cross multiply
    124,294.50x = 214,022.25 × 214,022.25
  4. Step 4: Simplify right side
    124,294.50x = 45,805,523,495.06
  5. Step 5: Solve for x
    x = 45,805,523,495.06/124,294.50
  6. Step 6: Final answer
    x = 368,524.14

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.