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Finding the Third Proportional to 123,261 and 176,143

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Solution

The third proportional to 123,261 and 176,143 is: 251,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,261 : 176,143 = 176,143 : x
  2. Step 2: Convert to fraction form
    123,261/176,143 = 176,143/x
  3. Step 3: Cross multiply
    123,261x = 176,143 × 176,143
  4. Step 4: Simplify right side
    123,261x = 31,026,356,449
  5. Step 5: Solve for x
    x = 31,026,356,449/123,261
  6. Step 6: Final answer
    x = 251,712.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.