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Finding the Third Proportional to 97,076 and 205,722

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Solution

The third proportional to 97,076 and 205,722 is: 435,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,076 : 205,722 = 205,722 : x
  2. Step 2: Convert to fraction form
    97,076/205,722 = 205,722/x
  3. Step 3: Cross multiply
    97,076x = 205,722 × 205,722
  4. Step 4: Simplify right side
    97,076x = 42,321,541,284
  5. Step 5: Solve for x
    x = 42,321,541,284/97,076
  6. Step 6: Final answer
    x = 435,962.97

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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.