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Finding the Third Proportional to 72,783 and 110,487.50

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Solution

The third proportional to 72,783 and 110,487.50 is: 167,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783 : 110,487.50 = 110,487.50 : x
  2. Step 2: Convert to fraction form
    72,783/110,487.50 = 110,487.50/x
  3. Step 3: Cross multiply
    72,783x = 110,487.50 × 110,487.50
  4. Step 4: Simplify right side
    72,783x = 12,207,487,656.25
  5. Step 5: Solve for x
    x = 12,207,487,656.25/72,783
  6. Step 6: Final answer
    x = 167,724.44

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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.