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Finding the Third Proportional to 78,058 and 168,596

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Solution

The third proportional to 78,058 and 168,596 is: 364,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058 : 168,596 = 168,596 : x
  2. Step 2: Convert to fraction form
    78,058/168,596 = 168,596/x
  3. Step 3: Cross multiply
    78,058x = 168,596 × 168,596
  4. Step 4: Simplify right side
    78,058x = 28,424,611,216
  5. Step 5: Solve for x
    x = 28,424,611,216/78,058
  6. Step 6: Final answer
    x = 364,147.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.