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Finding the Third Proportional to 93,975 and 137,212.50

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Solution

The third proportional to 93,975 and 137,212.50 is: 200,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,975 : 137,212.50 = 137,212.50 : x
  2. Step 2: Convert to fraction form
    93,975/137,212.50 = 137,212.50/x
  3. Step 3: Cross multiply
    93,975x = 137,212.50 × 137,212.50
  4. Step 4: Simplify right side
    93,975x = 18,827,270,156.25
  5. Step 5: Solve for x
    x = 18,827,270,156.25/93,975
  6. Step 6: Final answer
    x = 200,343.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.