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Finding the Third Proportional to 76,806.19 and 117,548.06

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Solution

The third proportional to 76,806.19 and 117,548.06 is: 179,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.19 : 117,548.06 = 117,548.06 : x
  2. Step 2: Convert to fraction form
    76,806.19/117,548.06 = 117,548.06/x
  3. Step 3: Cross multiply
    76,806.19x = 117,548.06 × 117,548.06
  4. Step 4: Simplify right side
    76,806.19x = 13,817,546,997.50
  5. Step 5: Solve for x
    x = 13,817,546,997.50/76,806.19
  6. Step 6: Final answer
    x = 179,901.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.