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Finding the Third Proportional to 43,306 and 64,785

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Solution

The third proportional to 43,306 and 64,785 is: 96,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,306 : 64,785 = 64,785 : x
  2. Step 2: Convert to fraction form
    43,306/64,785 = 64,785/x
  3. Step 3: Cross multiply
    43,306x = 64,785 × 64,785
  4. Step 4: Simplify right side
    43,306x = 4,197,096,225
  5. Step 5: Solve for x
    x = 4,197,096,225/43,306
  6. Step 6: Final answer
    x = 96,917.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.