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Finding the Third Proportional to 89,276 and 121,111

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Solution

The third proportional to 89,276 and 121,111 is: 164,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,276 : 121,111 = 121,111 : x
  2. Step 2: Convert to fraction form
    89,276/121,111 = 121,111/x
  3. Step 3: Cross multiply
    89,276x = 121,111 × 121,111
  4. Step 4: Simplify right side
    89,276x = 14,667,874,321
  5. Step 5: Solve for x
    x = 14,667,874,321/89,276
  6. Step 6: Final answer
    x = 164,298.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.