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Finding the Third Proportional to 45,402.75 and 68,266.13

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Solution

The third proportional to 45,402.75 and 68,266.13 is: 102,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402.75 : 68,266.13 = 68,266.13 : x
  2. Step 2: Convert to fraction form
    45,402.75/68,266.13 = 68,266.13/x
  3. Step 3: Cross multiply
    45,402.75x = 68,266.13 × 68,266.13
  4. Step 4: Simplify right side
    45,402.75x = 4,660,263,822.52
  5. Step 5: Solve for x
    x = 4,660,263,822.52/45,402.75
  6. Step 6: Final answer
    x = 102,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.