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Finding the Third Proportional to 117,036.75 and 186,247.13

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Solution

The third proportional to 117,036.75 and 186,247.13 is: 296,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,036.75 : 186,247.13 = 186,247.13 : x
  2. Step 2: Convert to fraction form
    117,036.75/186,247.13 = 186,247.13/x
  3. Step 3: Cross multiply
    117,036.75x = 186,247.13 × 186,247.13
  4. Step 4: Simplify right side
    117,036.75x = 34,687,991,570.77
  5. Step 5: Solve for x
    x = 34,687,991,570.77/117,036.75
  6. Step 6: Final answer
    x = 296,385.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.