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Finding the Third Proportional to 116,326 and 175,461

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Solution

The third proportional to 116,326 and 175,461 is: 264,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,326 : 175,461 = 175,461 : x
  2. Step 2: Convert to fraction form
    116,326/175,461 = 175,461/x
  3. Step 3: Cross multiply
    116,326x = 175,461 × 175,461
  4. Step 4: Simplify right side
    116,326x = 30,786,562,521
  5. Step 5: Solve for x
    x = 30,786,562,521/116,326
  6. Step 6: Final answer
    x = 264,657.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.