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Finding the Third Proportional to 73,806.25 and 117,497

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Solution

The third proportional to 73,806.25 and 117,497 is: 187,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,806.25 : 117,497 = 117,497 : x
  2. Step 2: Convert to fraction form
    73,806.25/117,497 = 117,497/x
  3. Step 3: Cross multiply
    73,806.25x = 117,497 × 117,497
  4. Step 4: Simplify right side
    73,806.25x = 13,805,545,009
  5. Step 5: Solve for x
    x = 13,805,545,009/73,806.25
  6. Step 6: Final answer
    x = 187,051.16

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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.