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Finding the Third Proportional to 114,502.50 and 173,007

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Solution

The third proportional to 114,502.50 and 173,007 is: 261,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,502.50 : 173,007 = 173,007 : x
  2. Step 2: Convert to fraction form
    114,502.50/173,007 = 173,007/x
  3. Step 3: Cross multiply
    114,502.50x = 173,007 × 173,007
  4. Step 4: Simplify right side
    114,502.50x = 29,931,422,049
  5. Step 5: Solve for x
    x = 29,931,422,049/114,502.50
  6. Step 6: Final answer
    x = 261,404.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.