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Finding the Third Proportional to 97,062 and 205,788

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Solution

The third proportional to 97,062 and 205,788 is: 436,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,062 : 205,788 = 205,788 : x
  2. Step 2: Convert to fraction form
    97,062/205,788 = 205,788/x
  3. Step 3: Cross multiply
    97,062x = 205,788 × 205,788
  4. Step 4: Simplify right side
    97,062x = 42,348,700,944
  5. Step 5: Solve for x
    x = 42,348,700,944/97,062
  6. Step 6: Final answer
    x = 436,305.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.