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Finding the Third Proportional to 45,299 and 65,248

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Solution

The third proportional to 45,299 and 65,248 is: 93,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,299 : 65,248 = 65,248 : x
  2. Step 2: Convert to fraction form
    45,299/65,248 = 65,248/x
  3. Step 3: Cross multiply
    45,299x = 65,248 × 65,248
  4. Step 4: Simplify right side
    45,299x = 4,257,301,504
  5. Step 5: Solve for x
    x = 4,257,301,504/45,299
  6. Step 6: Final answer
    x = 93,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.