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Finding the Third Proportional to 74,077.50 and 117,676.50

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Solution

The third proportional to 74,077.50 and 117,676.50 is: 186,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077.50 : 117,676.50 = 117,676.50 : x
  2. Step 2: Convert to fraction form
    74,077.50/117,676.50 = 117,676.50/x
  3. Step 3: Cross multiply
    74,077.50x = 117,676.50 × 117,676.50
  4. Step 4: Simplify right side
    74,077.50x = 13,847,758,652.25
  5. Step 5: Solve for x
    x = 13,847,758,652.25/74,077.50
  6. Step 6: Final answer
    x = 186,936.10

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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.