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Finding the Third Proportional to 92,863.13 and 153,644.63

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Solution

The third proportional to 92,863.13 and 153,644.63 is: 254,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,863.13 : 153,644.63 = 153,644.63 : x
  2. Step 2: Convert to fraction form
    92,863.13/153,644.63 = 153,644.63/x
  3. Step 3: Cross multiply
    92,863.13x = 153,644.63 × 153,644.63
  4. Step 4: Simplify right side
    92,863.13x = 23,606,670,791.39
  5. Step 5: Solve for x
    x = 23,606,670,791.39/92,863.13
  6. Step 6: Final answer
    x = 254,209.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.