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Finding the Third Proportional to 78,179 and 121,130

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Solution

The third proportional to 78,179 and 121,130 is: 187,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179 : 121,130 = 121,130 : x
  2. Step 2: Convert to fraction form
    78,179/121,130 = 121,130/x
  3. Step 3: Cross multiply
    78,179x = 121,130 × 121,130
  4. Step 4: Simplify right side
    78,179x = 14,672,476,900
  5. Step 5: Solve for x
    x = 14,672,476,900/78,179
  6. Step 6: Final answer
    x = 187,677.98

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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.