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Finding the Third Proportional to 74,277.50 and 109,778

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Solution

The third proportional to 74,277.50 and 109,778 is: 162,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,277.50 : 109,778 = 109,778 : x
  2. Step 2: Convert to fraction form
    74,277.50/109,778 = 109,778/x
  3. Step 3: Cross multiply
    74,277.50x = 109,778 × 109,778
  4. Step 4: Simplify right side
    74,277.50x = 12,051,209,284
  5. Step 5: Solve for x
    x = 12,051,209,284/74,277.50
  6. Step 6: Final answer
    x = 162,245.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.