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Finding the Third Proportional to 93,331 and 126,172.50

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Solution

The third proportional to 93,331 and 126,172.50 is: 170,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,331 : 126,172.50 = 126,172.50 : x
  2. Step 2: Convert to fraction form
    93,331/126,172.50 = 126,172.50/x
  3. Step 3: Cross multiply
    93,331x = 126,172.50 × 126,172.50
  4. Step 4: Simplify right side
    93,331x = 15,919,499,756.25
  5. Step 5: Solve for x
    x = 15,919,499,756.25/93,331
  6. Step 6: Final answer
    x = 170,570.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.