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Finding the Third Proportional to 75,135.75 and 105,048.75

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Solution

The third proportional to 75,135.75 and 105,048.75 is: 146,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135.75 : 105,048.75 = 105,048.75 : x
  2. Step 2: Convert to fraction form
    75,135.75/105,048.75 = 105,048.75/x
  3. Step 3: Cross multiply
    75,135.75x = 105,048.75 × 105,048.75
  4. Step 4: Simplify right side
    75,135.75x = 11,035,239,876.56
  5. Step 5: Solve for x
    x = 11,035,239,876.56/75,135.75
  6. Step 6: Final answer
    x = 146,870.70

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