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Finding the Third Proportional to 76,985.44 and 122,259.38

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Solution

The third proportional to 76,985.44 and 122,259.38 is: 194,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.44 : 122,259.38 = 122,259.38 : x
  2. Step 2: Convert to fraction form
    76,985.44/122,259.38 = 122,259.38/x
  3. Step 3: Cross multiply
    76,985.44x = 122,259.38 × 122,259.38
  4. Step 4: Simplify right side
    76,985.44x = 14,947,354,775.39
  5. Step 5: Solve for x
    x = 14,947,354,775.39/76,985.44
  6. Step 6: Final answer
    x = 194,158.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.