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Finding the Third Proportional to 78,099 and 170,454

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Solution

The third proportional to 78,099 and 170,454 is: 372,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,099 : 170,454 = 170,454 : x
  2. Step 2: Convert to fraction form
    78,099/170,454 = 170,454/x
  3. Step 3: Cross multiply
    78,099x = 170,454 × 170,454
  4. Step 4: Simplify right side
    78,099x = 29,054,566,116
  5. Step 5: Solve for x
    x = 29,054,566,116/78,099
  6. Step 6: Final answer
    x = 372,022.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.