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Finding the Third Proportional to 45,501 and 93,231

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Solution

The third proportional to 45,501 and 93,231 is: 191,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,501 : 93,231 = 93,231 : x
  2. Step 2: Convert to fraction form
    45,501/93,231 = 93,231/x
  3. Step 3: Cross multiply
    45,501x = 93,231 × 93,231
  4. Step 4: Simplify right side
    45,501x = 8,692,019,361
  5. Step 5: Solve for x
    x = 8,692,019,361/45,501
  6. Step 6: Final answer
    x = 191,029.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.