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Finding the Third Proportional to 45,249 and 97,435

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Solution

The third proportional to 45,249 and 97,435 is: 209,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,249 : 97,435 = 97,435 : x
  2. Step 2: Convert to fraction form
    45,249/97,435 = 97,435/x
  3. Step 3: Cross multiply
    45,249x = 97,435 × 97,435
  4. Step 4: Simplify right side
    45,249x = 9,493,579,225
  5. Step 5: Solve for x
    x = 9,493,579,225/45,249
  6. Step 6: Final answer
    x = 209,807.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.