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Finding the Third Proportional to 94,999.50 and 205,065

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Solution

The third proportional to 94,999.50 and 205,065 is: 442,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,999.50 : 205,065 = 205,065 : x
  2. Step 2: Convert to fraction form
    94,999.50/205,065 = 205,065/x
  3. Step 3: Cross multiply
    94,999.50x = 205,065 × 205,065
  4. Step 4: Simplify right side
    94,999.50x = 42,051,654,225
  5. Step 5: Solve for x
    x = 42,051,654,225/94,999.50
  6. Step 6: Final answer
    x = 442,651.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.