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Finding the Third Proportional to 45,653 and 68,588

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Solution

The third proportional to 45,653 and 68,588 is: 103,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,653 : 68,588 = 68,588 : x
  2. Step 2: Convert to fraction form
    45,653/68,588 = 68,588/x
  3. Step 3: Cross multiply
    45,653x = 68,588 × 68,588
  4. Step 4: Simplify right side
    45,653x = 4,704,313,744
  5. Step 5: Solve for x
    x = 4,704,313,744/45,653
  6. Step 6: Final answer
    x = 103,045.01

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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.