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Finding the Third Proportional to 57,778.50 and 88,770

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Solution

The third proportional to 57,778.50 and 88,770 is: 136,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778.50 : 88,770 = 88,770 : x
  2. Step 2: Convert to fraction form
    57,778.50/88,770 = 88,770/x
  3. Step 3: Cross multiply
    57,778.50x = 88,770 × 88,770
  4. Step 4: Simplify right side
    57,778.50x = 7,880,112,900
  5. Step 5: Solve for x
    x = 7,880,112,900/57,778.50
  6. Step 6: Final answer
    x = 136,384.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.