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Finding the Third Proportional to 48,636 and 76,196

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Solution

The third proportional to 48,636 and 76,196 is: 119,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,636 : 76,196 = 76,196 : x
  2. Step 2: Convert to fraction form
    48,636/76,196 = 76,196/x
  3. Step 3: Cross multiply
    48,636x = 76,196 × 76,196
  4. Step 4: Simplify right side
    48,636x = 5,805,830,416
  5. Step 5: Solve for x
    x = 5,805,830,416/48,636
  6. Step 6: Final answer
    x = 119,373.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.