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Finding the Third Proportional to 75,048 and 105,551.50

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Solution

The third proportional to 75,048 and 105,551.50 is: 148,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,048 : 105,551.50 = 105,551.50 : x
  2. Step 2: Convert to fraction form
    75,048/105,551.50 = 105,551.50/x
  3. Step 3: Cross multiply
    75,048x = 105,551.50 × 105,551.50
  4. Step 4: Simplify right side
    75,048x = 11,141,119,152.25
  5. Step 5: Solve for x
    x = 11,141,119,152.25/75,048
  6. Step 6: Final answer
    x = 148,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.