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Finding the Third Proportional to 123,201 and 259,281

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Solution

The third proportional to 123,201 and 259,281 is: 545,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201 : 259,281 = 259,281 : x
  2. Step 2: Convert to fraction form
    123,201/259,281 = 259,281/x
  3. Step 3: Cross multiply
    123,201x = 259,281 × 259,281
  4. Step 4: Simplify right side
    123,201x = 67,226,636,961
  5. Step 5: Solve for x
    x = 67,226,636,961/123,201
  6. Step 6: Final answer
    x = 545,666.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.