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Finding the Third Proportional to 34,999 and 76,803

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Solution

The third proportional to 34,999 and 76,803 is: 168,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,999 : 76,803 = 76,803 : x
  2. Step 2: Convert to fraction form
    34,999/76,803 = 76,803/x
  3. Step 3: Cross multiply
    34,999x = 76,803 × 76,803
  4. Step 4: Simplify right side
    34,999x = 5,898,700,809
  5. Step 5: Solve for x
    x = 5,898,700,809/34,999
  6. Step 6: Final answer
    x = 168,539.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.