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Finding the Third Proportional to 77,006 and 115,196

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Solution

The third proportional to 77,006 and 115,196 is: 172,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006 : 115,196 = 115,196 : x
  2. Step 2: Convert to fraction form
    77,006/115,196 = 115,196/x
  3. Step 3: Cross multiply
    77,006x = 115,196 × 115,196
  4. Step 4: Simplify right side
    77,006x = 13,270,118,416
  5. Step 5: Solve for x
    x = 13,270,118,416/77,006
  6. Step 6: Final answer
    x = 172,325.77

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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.