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Finding the Third Proportional to 75,095 and 104,987.75

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Solution

The third proportional to 75,095 and 104,987.75 is: 146,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095 : 104,987.75 = 104,987.75 : x
  2. Step 2: Convert to fraction form
    75,095/104,987.75 = 104,987.75/x
  3. Step 3: Cross multiply
    75,095x = 104,987.75 × 104,987.75
  4. Step 4: Simplify right side
    75,095x = 11,022,427,650.06
  5. Step 5: Solve for x
    x = 11,022,427,650.06/75,095
  6. Step 6: Final answer
    x = 146,779.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.