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Finding the Third Proportional to 62,803 and 134,705

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Solution

The third proportional to 62,803 and 134,705 is: 288,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,803 : 134,705 = 134,705 : x
  2. Step 2: Convert to fraction form
    62,803/134,705 = 134,705/x
  3. Step 3: Cross multiply
    62,803x = 134,705 × 134,705
  4. Step 4: Simplify right side
    62,803x = 18,145,437,025
  5. Step 5: Solve for x
    x = 18,145,437,025/62,803
  6. Step 6: Final answer
    x = 288,926.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.