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Finding the Third Proportional to 36,051.75 and 78,187.50

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Solution

The third proportional to 36,051.75 and 78,187.50 is: 169,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,051.75 : 78,187.50 = 78,187.50 : x
  2. Step 2: Convert to fraction form
    36,051.75/78,187.50 = 78,187.50/x
  3. Step 3: Cross multiply
    36,051.75x = 78,187.50 × 78,187.50
  4. Step 4: Simplify right side
    36,051.75x = 6,113,285,156.25
  5. Step 5: Solve for x
    x = 6,113,285,156.25/36,051.75
  6. Step 6: Final answer
    x = 169,569.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.