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Finding the Third Proportional to 59,785.50 and 128,157

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Solution

The third proportional to 59,785.50 and 128,157 is: 274,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,785.50 : 128,157 = 128,157 : x
  2. Step 2: Convert to fraction form
    59,785.50/128,157 = 128,157/x
  3. Step 3: Cross multiply
    59,785.50x = 128,157 × 128,157
  4. Step 4: Simplify right side
    59,785.50x = 16,424,216,649
  5. Step 5: Solve for x
    x = 16,424,216,649/59,785.50
  6. Step 6: Final answer
    x = 274,719.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.