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Finding the Third Proportional to 123,255.75 and 176,135.63

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Solution

The third proportional to 123,255.75 and 176,135.63 is: 251,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,255.75 : 176,135.63 = 176,135.63 : x
  2. Step 2: Convert to fraction form
    123,255.75/176,135.63 = 176,135.63/x
  3. Step 3: Cross multiply
    123,255.75x = 176,135.63 × 176,135.63
  4. Step 4: Simplify right side
    123,255.75x = 31,023,758,394.14
  5. Step 5: Solve for x
    x = 31,023,758,394.14/123,255.75
  6. Step 6: Final answer
    x = 251,702.32

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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.