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Finding the Third Proportional to 105,595 and 229,781

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Solution

The third proportional to 105,595 and 229,781 is: 500,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,595 : 229,781 = 229,781 : x
  2. Step 2: Convert to fraction form
    105,595/229,781 = 229,781/x
  3. Step 3: Cross multiply
    105,595x = 229,781 × 229,781
  4. Step 4: Simplify right side
    105,595x = 52,799,307,961
  5. Step 5: Solve for x
    x = 52,799,307,961/105,595
  6. Step 6: Final answer
    x = 500,017.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.