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Finding the Third Proportional to 116,623.13 and 174,895.88

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Solution

The third proportional to 116,623.13 and 174,895.88 is: 262,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,623.13 : 174,895.88 = 174,895.88 : x
  2. Step 2: Convert to fraction form
    116,623.13/174,895.88 = 174,895.88/x
  3. Step 3: Cross multiply
    116,623.13x = 174,895.88 × 174,895.88
  4. Step 4: Simplify right side
    116,623.13x = 30,588,567,092.02
  5. Step 5: Solve for x
    x = 30,588,567,092.02/116,623.13
  6. Step 6: Final answer
    x = 262,285.61

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Why These Related Problems?

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