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Finding the Third Proportional to 47,313 and 76,225.50

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Solution

The third proportional to 47,313 and 76,225.50 is: 122,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,313 : 76,225.50 = 76,225.50 : x
  2. Step 2: Convert to fraction form
    47,313/76,225.50 = 76,225.50/x
  3. Step 3: Cross multiply
    47,313x = 76,225.50 × 76,225.50
  4. Step 4: Simplify right side
    47,313x = 5,810,326,850.25
  5. Step 5: Solve for x
    x = 5,810,326,850.25/47,313
  6. Step 6: Final answer
    x = 122,806.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.