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Finding the Third Proportional to 123,257 and 176,137

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Solution

The third proportional to 123,257 and 176,137 is: 251,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,257 : 176,137 = 176,137 : x
  2. Step 2: Convert to fraction form
    123,257/176,137 = 176,137/x
  3. Step 3: Cross multiply
    123,257x = 176,137 × 176,137
  4. Step 4: Simplify right side
    123,257x = 31,024,242,769
  5. Step 5: Solve for x
    x = 31,024,242,769/123,257
  6. Step 6: Final answer
    x = 251,703.70

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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.