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Finding the Third Proportional to 62,803 and 94,345

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Solution

The third proportional to 62,803 and 94,345 is: 141,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,803 : 94,345 = 94,345 : x
  2. Step 2: Convert to fraction form
    62,803/94,345 = 94,345/x
  3. Step 3: Cross multiply
    62,803x = 94,345 × 94,345
  4. Step 4: Simplify right side
    62,803x = 8,900,979,025
  5. Step 5: Solve for x
    x = 8,900,979,025/62,803
  6. Step 6: Final answer
    x = 141,728.56

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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.