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Finding the Third Proportional to 78,846 and 122,421

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Solution

The third proportional to 78,846 and 122,421 is: 190,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846 : 122,421 = 122,421 : x
  2. Step 2: Convert to fraction form
    78,846/122,421 = 122,421/x
  3. Step 3: Cross multiply
    78,846x = 122,421 × 122,421
  4. Step 4: Simplify right side
    78,846x = 14,986,901,241
  5. Step 5: Solve for x
    x = 14,986,901,241/78,846
  6. Step 6: Final answer
    x = 190,078.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.