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Finding the Third Proportional to 74,735.75 and 113,487.50

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Solution

The third proportional to 74,735.75 and 113,487.50 is: 172,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,735.75 : 113,487.50 = 113,487.50 : x
  2. Step 2: Convert to fraction form
    74,735.75/113,487.50 = 113,487.50/x
  3. Step 3: Cross multiply
    74,735.75x = 113,487.50 × 113,487.50
  4. Step 4: Simplify right side
    74,735.75x = 12,879,412,656.25
  5. Step 5: Solve for x
    x = 12,879,412,656.25/74,735.75
  6. Step 6: Final answer
    x = 172,332.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.