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Finding the Third Proportional to 78,104 and 168,355

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Solution

The third proportional to 78,104 and 168,355 is: 362,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104 : 168,355 = 168,355 : x
  2. Step 2: Convert to fraction form
    78,104/168,355 = 168,355/x
  3. Step 3: Cross multiply
    78,104x = 168,355 × 168,355
  4. Step 4: Simplify right side
    78,104x = 28,343,406,025
  5. Step 5: Solve for x
    x = 28,343,406,025/78,104
  6. Step 6: Final answer
    x = 362,893.14

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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.