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Finding the Third Proportional to 43,242.50 and 94,998

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Solution

The third proportional to 43,242.50 and 94,998 is: 208,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242.50 : 94,998 = 94,998 : x
  2. Step 2: Convert to fraction form
    43,242.50/94,998 = 94,998/x
  3. Step 3: Cross multiply
    43,242.50x = 94,998 × 94,998
  4. Step 4: Simplify right side
    43,242.50x = 9,024,620,004
  5. Step 5: Solve for x
    x = 9,024,620,004/43,242.50
  6. Step 6: Final answer
    x = 208,697.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.