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Finding the Third Proportional to 116,527 and 185,891

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Solution

The third proportional to 116,527 and 185,891 is: 296,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,527 : 185,891 = 185,891 : x
  2. Step 2: Convert to fraction form
    116,527/185,891 = 185,891/x
  3. Step 3: Cross multiply
    116,527x = 185,891 × 185,891
  4. Step 4: Simplify right side
    116,527x = 34,555,463,881
  5. Step 5: Solve for x
    x = 34,555,463,881/116,527
  6. Step 6: Final answer
    x = 296,544.70

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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.