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Finding the Third Proportional to 66,147 and 96,446.25

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Solution

The third proportional to 66,147 and 96,446.25 is: 140,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147 : 96,446.25 = 96,446.25 : x
  2. Step 2: Convert to fraction form
    66,147/96,446.25 = 96,446.25/x
  3. Step 3: Cross multiply
    66,147x = 96,446.25 × 96,446.25
  4. Step 4: Simplify right side
    66,147x = 9,301,879,139.06
  5. Step 5: Solve for x
    x = 9,301,879,139.06/66,147
  6. Step 6: Final answer
    x = 140,624.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.