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Finding the Third Proportional to 123,276 and 176,169

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Solution

The third proportional to 123,276 and 176,169 is: 251,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,276 : 176,169 = 176,169 : x
  2. Step 2: Convert to fraction form
    123,276/176,169 = 176,169/x
  3. Step 3: Cross multiply
    123,276x = 176,169 × 176,169
  4. Step 4: Simplify right side
    123,276x = 31,035,516,561
  5. Step 5: Solve for x
    x = 31,035,516,561/123,276
  6. Step 6: Final answer
    x = 251,756.36

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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.