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Finding the Third Proportional to 79,454.53 and 171,513

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Solution

The third proportional to 79,454.53 and 171,513 is: 370,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,454.53 : 171,513 = 171,513 : x
  2. Step 2: Convert to fraction form
    79,454.53/171,513 = 171,513/x
  3. Step 3: Cross multiply
    79,454.53x = 171,513 × 171,513
  4. Step 4: Simplify right side
    79,454.53x = 29,416,709,169
  5. Step 5: Solve for x
    x = 29,416,709,169/79,454.53
  6. Step 6: Final answer
    x = 370,233.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.