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Finding the Third Proportional to 116,764 and 187,295

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Solution

The third proportional to 116,764 and 187,295 is: 300,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,764 : 187,295 = 187,295 : x
  2. Step 2: Convert to fraction form
    116,764/187,295 = 187,295/x
  3. Step 3: Cross multiply
    116,764x = 187,295 × 187,295
  4. Step 4: Simplify right side
    116,764x = 35,079,417,025
  5. Step 5: Solve for x
    x = 35,079,417,025/116,764
  6. Step 6: Final answer
    x = 300,430.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.