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Finding the Third Proportional to 64,204.50 and 137,313

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Solution

The third proportional to 64,204.50 and 137,313 is: 293,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,204.50 : 137,313 = 137,313 : x
  2. Step 2: Convert to fraction form
    64,204.50/137,313 = 137,313/x
  3. Step 3: Cross multiply
    64,204.50x = 137,313 × 137,313
  4. Step 4: Simplify right side
    64,204.50x = 18,854,859,969
  5. Step 5: Solve for x
    x = 18,854,859,969/64,204.50
  6. Step 6: Final answer
    x = 293,668.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.