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Finding the Third Proportional to 78,760 and 170,642

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Solution

The third proportional to 78,760 and 170,642 is: 369,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,760 : 170,642 = 170,642 : x
  2. Step 2: Convert to fraction form
    78,760/170,642 = 170,642/x
  3. Step 3: Cross multiply
    78,760x = 170,642 × 170,642
  4. Step 4: Simplify right side
    78,760x = 29,118,692,164
  5. Step 5: Solve for x
    x = 29,118,692,164/78,760
  6. Step 6: Final answer
    x = 369,714.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.