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Finding the Third Proportional to 123,240 and 176,104.50

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Solution

The third proportional to 123,240 and 176,104.50 is: 251,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240 : 176,104.50 = 176,104.50 : x
  2. Step 2: Convert to fraction form
    123,240/176,104.50 = 176,104.50/x
  3. Step 3: Cross multiply
    123,240x = 176,104.50 × 176,104.50
  4. Step 4: Simplify right side
    123,240x = 31,012,794,920.25
  5. Step 5: Solve for x
    x = 31,012,794,920.25/123,240
  6. Step 6: Final answer
    x = 251,645.53

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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.