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Finding the Third Proportional to 77,780 and 168,014

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Solution

The third proportional to 77,780 and 168,014 is: 362,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780 : 168,014 = 168,014 : x
  2. Step 2: Convert to fraction form
    77,780/168,014 = 168,014/x
  3. Step 3: Cross multiply
    77,780x = 168,014 × 168,014
  4. Step 4: Simplify right side
    77,780x = 28,228,704,196
  5. Step 5: Solve for x
    x = 28,228,704,196/77,780
  6. Step 6: Final answer
    x = 362,930.11

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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.