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Finding the Third Proportional to 96,516 and 139,237

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Solution

The third proportional to 96,516 and 139,237 is: 200,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,516 : 139,237 = 139,237 : x
  2. Step 2: Convert to fraction form
    96,516/139,237 = 139,237/x
  3. Step 3: Cross multiply
    96,516x = 139,237 × 139,237
  4. Step 4: Simplify right side
    96,516x = 19,386,942,169
  5. Step 5: Solve for x
    x = 19,386,942,169/96,516
  6. Step 6: Final answer
    x = 200,867.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.