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Finding the Third Proportional to 36,054 and 74,862

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Solution

The third proportional to 36,054 and 74,862 is: 155,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,054 : 74,862 = 74,862 : x
  2. Step 2: Convert to fraction form
    36,054/74,862 = 74,862/x
  3. Step 3: Cross multiply
    36,054x = 74,862 × 74,862
  4. Step 4: Simplify right side
    36,054x = 5,604,319,044
  5. Step 5: Solve for x
    x = 5,604,319,044/36,054
  6. Step 6: Final answer
    x = 155,442.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.