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Finding the Third Proportional to 94,506.75 and 146,341.69

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Solution

The third proportional to 94,506.75 and 146,341.69 is: 226,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,506.75 : 146,341.69 = 146,341.69 : x
  2. Step 2: Convert to fraction form
    94,506.75/146,341.69 = 146,341.69/x
  3. Step 3: Cross multiply
    94,506.75x = 146,341.69 × 146,341.69
  4. Step 4: Simplify right side
    94,506.75x = 21,415,889,500.35
  5. Step 5: Solve for x
    x = 21,415,889,500.35/94,506.75
  6. Step 6: Final answer
    x = 226,606.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.