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Finding the Third Proportional to 79,072 and 121,483

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Solution

The third proportional to 79,072 and 121,483 is: 186,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,072 : 121,483 = 121,483 : x
  2. Step 2: Convert to fraction form
    79,072/121,483 = 121,483/x
  3. Step 3: Cross multiply
    79,072x = 121,483 × 121,483
  4. Step 4: Simplify right side
    79,072x = 14,758,119,289
  5. Step 5: Solve for x
    x = 14,758,119,289/79,072
  6. Step 6: Final answer
    x = 186,641.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.