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Finding the Third Proportional to 45,445 and 93,151

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Solution

The third proportional to 45,445 and 93,151 is: 190,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,445 : 93,151 = 93,151 : x
  2. Step 2: Convert to fraction form
    45,445/93,151 = 93,151/x
  3. Step 3: Cross multiply
    45,445x = 93,151 × 93,151
  4. Step 4: Simplify right side
    45,445x = 8,677,108,801
  5. Step 5: Solve for x
    x = 8,677,108,801/45,445
  6. Step 6: Final answer
    x = 190,936.49

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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.