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Finding the Third Proportional to 116,394 and 177,972

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Solution

The third proportional to 116,394 and 177,972 is: 272,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,394 : 177,972 = 177,972 : x
  2. Step 2: Convert to fraction form
    116,394/177,972 = 177,972/x
  3. Step 3: Cross multiply
    116,394x = 177,972 × 177,972
  4. Step 4: Simplify right side
    116,394x = 31,674,032,784
  5. Step 5: Solve for x
    x = 31,674,032,784/116,394
  6. Step 6: Final answer
    x = 272,127.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.