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Finding the Third Proportional to 105,087 and 233,499

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Solution

The third proportional to 105,087 and 233,499 is: 518,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087 : 233,499 = 233,499 : x
  2. Step 2: Convert to fraction form
    105,087/233,499 = 233,499/x
  3. Step 3: Cross multiply
    105,087x = 233,499 × 233,499
  4. Step 4: Simplify right side
    105,087x = 54,521,783,001
  5. Step 5: Solve for x
    x = 54,521,783,001/105,087
  6. Step 6: Final answer
    x = 518,825.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.