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Finding the Third Proportional to 45,651 and 75,460.50

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Solution

The third proportional to 45,651 and 75,460.50 is: 124,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,651 : 75,460.50 = 75,460.50 : x
  2. Step 2: Convert to fraction form
    45,651/75,460.50 = 75,460.50/x
  3. Step 3: Cross multiply
    45,651x = 75,460.50 × 75,460.50
  4. Step 4: Simplify right side
    45,651x = 5,694,287,060.25
  5. Step 5: Solve for x
    x = 5,694,287,060.25/45,651
  6. Step 6: Final answer
    x = 124,735.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.