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Finding the Third Proportional to 60,187.50 and 128,151

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Solution

The third proportional to 60,187.50 and 128,151 is: 272,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,187.50 : 128,151 = 128,151 : x
  2. Step 2: Convert to fraction form
    60,187.50/128,151 = 128,151/x
  3. Step 3: Cross multiply
    60,187.50x = 128,151 × 128,151
  4. Step 4: Simplify right side
    60,187.50x = 16,422,678,801
  5. Step 5: Solve for x
    x = 16,422,678,801/60,187.50
  6. Step 6: Final answer
    x = 272,858.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.