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Finding the Third Proportional to 45,653 and 97,750

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Solution

The third proportional to 45,653 and 97,750 is: 209,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,653 : 97,750 = 97,750 : x
  2. Step 2: Convert to fraction form
    45,653/97,750 = 97,750/x
  3. Step 3: Cross multiply
    45,653x = 97,750 × 97,750
  4. Step 4: Simplify right side
    45,653x = 9,555,062,500
  5. Step 5: Solve for x
    x = 9,555,062,500/45,653
  6. Step 6: Final answer
    x = 209,297.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.