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Finding the Third Proportional to 93,392 and 139,758

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Solution

The third proportional to 93,392 and 139,758 is: 209,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,392 : 139,758 = 139,758 : x
  2. Step 2: Convert to fraction form
    93,392/139,758 = 139,758/x
  3. Step 3: Cross multiply
    93,392x = 139,758 × 139,758
  4. Step 4: Simplify right side
    93,392x = 19,532,298,564
  5. Step 5: Solve for x
    x = 19,532,298,564/93,392
  6. Step 6: Final answer
    x = 209,143.17

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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.