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Finding the Third Proportional to 84,903 and 124,345

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Solution

The third proportional to 84,903 and 124,345 is: 182,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,903 : 124,345 = 124,345 : x
  2. Step 2: Convert to fraction form
    84,903/124,345 = 124,345/x
  3. Step 3: Cross multiply
    84,903x = 124,345 × 124,345
  4. Step 4: Simplify right side
    84,903x = 15,461,679,025
  5. Step 5: Solve for x
    x = 15,461,679,025/84,903
  6. Step 6: Final answer
    x = 182,109.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.