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Finding the Third Proportional to 123,234 and 176,097

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Solution

The third proportional to 123,234 and 176,097 is: 251,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,234 : 176,097 = 176,097 : x
  2. Step 2: Convert to fraction form
    123,234/176,097 = 176,097/x
  3. Step 3: Cross multiply
    123,234x = 176,097 × 176,097
  4. Step 4: Simplify right side
    123,234x = 31,010,153,409
  5. Step 5: Solve for x
    x = 31,010,153,409/123,234
  6. Step 6: Final answer
    x = 251,636.35

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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.