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Finding the Third Proportional to 107,642 and 235,804

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Solution

The third proportional to 107,642 and 235,804 is: 516,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642 : 235,804 = 235,804 : x
  2. Step 2: Convert to fraction form
    107,642/235,804 = 235,804/x
  3. Step 3: Cross multiply
    107,642x = 235,804 × 235,804
  4. Step 4: Simplify right side
    107,642x = 55,603,526,416
  5. Step 5: Solve for x
    x = 55,603,526,416/107,642
  6. Step 6: Final answer
    x = 516,559.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.