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Finding the Third Proportional to 97,767 and 119,313

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Solution

The third proportional to 97,767 and 119,313 is: 145,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,767 : 119,313 = 119,313 : x
  2. Step 2: Convert to fraction form
    97,767/119,313 = 119,313/x
  3. Step 3: Cross multiply
    97,767x = 119,313 × 119,313
  4. Step 4: Simplify right side
    97,767x = 14,235,591,969
  5. Step 5: Solve for x
    x = 14,235,591,969/97,767
  6. Step 6: Final answer
    x = 145,607.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.