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Finding the Third Proportional to 77,999 and 117,551

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Solution

The third proportional to 77,999 and 117,551 is: 177,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,999 : 117,551 = 117,551 : x
  2. Step 2: Convert to fraction form
    77,999/117,551 = 117,551/x
  3. Step 3: Cross multiply
    77,999x = 117,551 × 117,551
  4. Step 4: Simplify right side
    77,999x = 13,818,237,601
  5. Step 5: Solve for x
    x = 13,818,237,601/77,999
  6. Step 6: Final answer
    x = 177,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.