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Finding the Third Proportional to 96,710 and 205,032

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Solution

The third proportional to 96,710 and 205,032 is: 434,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,710 : 205,032 = 205,032 : x
  2. Step 2: Convert to fraction form
    96,710/205,032 = 205,032/x
  3. Step 3: Cross multiply
    96,710x = 205,032 × 205,032
  4. Step 4: Simplify right side
    96,710x = 42,038,121,024
  5. Step 5: Solve for x
    x = 42,038,121,024/96,710
  6. Step 6: Final answer
    x = 434,682.26

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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.