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Finding the Third Proportional to 73,642 and 112,604.50

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Solution

The third proportional to 73,642 and 112,604.50 is: 172,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,642 : 112,604.50 = 112,604.50 : x
  2. Step 2: Convert to fraction form
    73,642/112,604.50 = 112,604.50/x
  3. Step 3: Cross multiply
    73,642x = 112,604.50 × 112,604.50
  4. Step 4: Simplify right side
    73,642x = 12,679,773,420.25
  5. Step 5: Solve for x
    x = 12,679,773,420.25/73,642
  6. Step 6: Final answer
    x = 172,181.27

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