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Finding the Third Proportional to 36,045 and 77,417

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Solution

The third proportional to 36,045 and 77,417 is: 166,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 77,417 = 77,417 : x
  2. Step 2: Convert to fraction form
    36,045/77,417 = 77,417/x
  3. Step 3: Cross multiply
    36,045x = 77,417 × 77,417
  4. Step 4: Simplify right side
    36,045x = 5,993,391,889
  5. Step 5: Solve for x
    x = 5,993,391,889/36,045
  6. Step 6: Final answer
    x = 166,275.26

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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.