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Finding the Third Proportional to 45,051.75 and 68,366.25

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Solution

The third proportional to 45,051.75 and 68,366.25 is: 103,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,051.75 : 68,366.25 = 68,366.25 : x
  2. Step 2: Convert to fraction form
    45,051.75/68,366.25 = 68,366.25/x
  3. Step 3: Cross multiply
    45,051.75x = 68,366.25 × 68,366.25
  4. Step 4: Simplify right side
    45,051.75x = 4,673,944,139.06
  5. Step 5: Solve for x
    x = 4,673,944,139.06/45,051.75
  6. Step 6: Final answer
    x = 103,746.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.