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Finding the Third Proportional to 77,097 and 115,329

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Solution

The third proportional to 77,097 and 115,329 is: 172,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097 : 115,329 = 115,329 : x
  2. Step 2: Convert to fraction form
    77,097/115,329 = 115,329/x
  3. Step 3: Cross multiply
    77,097x = 115,329 × 115,329
  4. Step 4: Simplify right side
    77,097x = 13,300,778,241
  5. Step 5: Solve for x
    x = 13,300,778,241/77,097
  6. Step 6: Final answer
    x = 172,520.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.