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Finding the Third Proportional to 106,935 and 232,083

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Solution

The third proportional to 106,935 and 232,083 is: 503,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935 : 232,083 = 232,083 : x
  2. Step 2: Convert to fraction form
    106,935/232,083 = 232,083/x
  3. Step 3: Cross multiply
    106,935x = 232,083 × 232,083
  4. Step 4: Simplify right side
    106,935x = 53,862,518,889
  5. Step 5: Solve for x
    x = 53,862,518,889/106,935
  6. Step 6: Final answer
    x = 503,694.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.