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Finding the Third Proportional to 79,250 and 117,565

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Solution

The third proportional to 79,250 and 117,565 is: 174,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,250 : 117,565 = 117,565 : x
  2. Step 2: Convert to fraction form
    79,250/117,565 = 117,565/x
  3. Step 3: Cross multiply
    79,250x = 117,565 × 117,565
  4. Step 4: Simplify right side
    79,250x = 13,821,529,225
  5. Step 5: Solve for x
    x = 13,821,529,225/79,250
  6. Step 6: Final answer
    x = 174,404.15

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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.