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Finding the Third Proportional to 116,402 and 177,982

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Solution

The third proportional to 116,402 and 177,982 is: 272,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,402 : 177,982 = 177,982 : x
  2. Step 2: Convert to fraction form
    116,402/177,982 = 177,982/x
  3. Step 3: Cross multiply
    116,402x = 177,982 × 177,982
  4. Step 4: Simplify right side
    116,402x = 31,677,592,324
  5. Step 5: Solve for x
    x = 31,677,592,324/116,402
  6. Step 6: Final answer
    x = 272,139.59

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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.