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Finding the Third Proportional to 79,294 and 122,968

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Solution

The third proportional to 79,294 and 122,968 is: 190,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,294 : 122,968 = 122,968 : x
  2. Step 2: Convert to fraction form
    79,294/122,968 = 122,968/x
  3. Step 3: Cross multiply
    79,294x = 122,968 × 122,968
  4. Step 4: Simplify right side
    79,294x = 15,121,129,024
  5. Step 5: Solve for x
    x = 15,121,129,024/79,294
  6. Step 6: Final answer
    x = 190,697.01

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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.