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Finding the Third Proportional to 79,434 and 117,302.50

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Solution

The third proportional to 79,434 and 117,302.50 is: 173,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,434 : 117,302.50 = 117,302.50 : x
  2. Step 2: Convert to fraction form
    79,434/117,302.50 = 117,302.50/x
  3. Step 3: Cross multiply
    79,434x = 117,302.50 × 117,302.50
  4. Step 4: Simplify right side
    79,434x = 13,759,876,506.25
  5. Step 5: Solve for x
    x = 13,759,876,506.25/79,434
  6. Step 6: Final answer
    x = 173,224.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.