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Finding the Third Proportional to 125,958 and 176,097

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Solution

The third proportional to 125,958 and 176,097 is: 246,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,958 : 176,097 = 176,097 : x
  2. Step 2: Convert to fraction form
    125,958/176,097 = 176,097/x
  3. Step 3: Cross multiply
    125,958x = 176,097 × 176,097
  4. Step 4: Simplify right side
    125,958x = 31,010,153,409
  5. Step 5: Solve for x
    x = 31,010,153,409/125,958
  6. Step 6: Final answer
    x = 246,194.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.