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Finding the Third Proportional to 114,782 and 153,948

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Solution

The third proportional to 114,782 and 153,948 is: 206,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782 : 153,948 = 153,948 : x
  2. Step 2: Convert to fraction form
    114,782/153,948 = 153,948/x
  3. Step 3: Cross multiply
    114,782x = 153,948 × 153,948
  4. Step 4: Simplify right side
    114,782x = 23,699,986,704
  5. Step 5: Solve for x
    x = 23,699,986,704/114,782
  6. Step 6: Final answer
    x = 206,478.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.