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Finding the Third Proportional to 35,054 and 75,454

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Solution

The third proportional to 35,054 and 75,454 is: 162,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054 : 75,454 = 75,454 : x
  2. Step 2: Convert to fraction form
    35,054/75,454 = 75,454/x
  3. Step 3: Cross multiply
    35,054x = 75,454 × 75,454
  4. Step 4: Simplify right side
    35,054x = 5,693,306,116
  5. Step 5: Solve for x
    x = 5,693,306,116/35,054
  6. Step 6: Final answer
    x = 162,415.31

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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.