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Finding the Third Proportional to 79,353 and 105,313

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Solution

The third proportional to 79,353 and 105,313 is: 139,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,353 : 105,313 = 105,313 : x
  2. Step 2: Convert to fraction form
    79,353/105,313 = 105,313/x
  3. Step 3: Cross multiply
    79,353x = 105,313 × 105,313
  4. Step 4: Simplify right side
    79,353x = 11,090,827,969
  5. Step 5: Solve for x
    x = 11,090,827,969/79,353
  6. Step 6: Final answer
    x = 139,765.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.