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Finding the Third Proportional to 93,375 and 142,794

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Solution

The third proportional to 93,375 and 142,794 is: 218,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,375 : 142,794 = 142,794 : x
  2. Step 2: Convert to fraction form
    93,375/142,794 = 142,794/x
  3. Step 3: Cross multiply
    93,375x = 142,794 × 142,794
  4. Step 4: Simplify right side
    93,375x = 20,390,126,436
  5. Step 5: Solve for x
    x = 20,390,126,436/93,375
  6. Step 6: Final answer
    x = 218,368.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.