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Finding the Third Proportional to 93,391 and 139,756

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Solution

The third proportional to 93,391 and 139,756 is: 209,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,391 : 139,756 = 139,756 : x
  2. Step 2: Convert to fraction form
    93,391/139,756 = 139,756/x
  3. Step 3: Cross multiply
    93,391x = 139,756 × 139,756
  4. Step 4: Simplify right side
    93,391x = 19,531,739,536
  5. Step 5: Solve for x
    x = 19,531,739,536/93,391
  6. Step 6: Final answer
    x = 209,139.42

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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.