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Finding the Third Proportional to 105,086 and 245,813

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Solution

The third proportional to 105,086 and 245,813 is: 574,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086 : 245,813 = 245,813 : x
  2. Step 2: Convert to fraction form
    105,086/245,813 = 245,813/x
  3. Step 3: Cross multiply
    105,086x = 245,813 × 245,813
  4. Step 4: Simplify right side
    105,086x = 60,424,030,969
  5. Step 5: Solve for x
    x = 60,424,030,969/105,086
  6. Step 6: Final answer
    x = 574,996.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.