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Finding the Third Proportional to 123,270 and 176,148

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Solution

The third proportional to 123,270 and 176,148 is: 251,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,270 : 176,148 = 176,148 : x
  2. Step 2: Convert to fraction form
    123,270/176,148 = 176,148/x
  3. Step 3: Cross multiply
    123,270x = 176,148 × 176,148
  4. Step 4: Simplify right side
    123,270x = 31,028,117,904
  5. Step 5: Solve for x
    x = 31,028,117,904/123,270
  6. Step 6: Final answer
    x = 251,708.59

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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.