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Finding the Third Proportional to 93,394 and 139,761

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Solution

The third proportional to 93,394 and 139,761 is: 209,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,394 : 139,761 = 139,761 : x
  2. Step 2: Convert to fraction form
    93,394/139,761 = 139,761/x
  3. Step 3: Cross multiply
    93,394x = 139,761 × 139,761
  4. Step 4: Simplify right side
    93,394x = 19,533,137,121
  5. Step 5: Solve for x
    x = 19,533,137,121/93,394
  6. Step 6: Final answer
    x = 209,147.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.