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Finding the Third Proportional to 93,015 and 139,257

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Solution

The third proportional to 93,015 and 139,257 is: 208,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,015 : 139,257 = 139,257 : x
  2. Step 2: Convert to fraction form
    93,015/139,257 = 139,257/x
  3. Step 3: Cross multiply
    93,015x = 139,257 × 139,257
  4. Step 4: Simplify right side
    93,015x = 19,392,512,049
  5. Step 5: Solve for x
    x = 19,392,512,049/93,015
  6. Step 6: Final answer
    x = 208,488.01

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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.