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Finding the Third Proportional to 60,196 and 93,644

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Solution

The third proportional to 60,196 and 93,644 is: 145,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,196 : 93,644 = 93,644 : x
  2. Step 2: Convert to fraction form
    60,196/93,644 = 93,644/x
  3. Step 3: Cross multiply
    60,196x = 93,644 × 93,644
  4. Step 4: Simplify right side
    60,196x = 8,769,198,736
  5. Step 5: Solve for x
    x = 8,769,198,736/60,196
  6. Step 6: Final answer
    x = 145,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.