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Finding the Third Proportional to 83,330 and 116,652

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Solution

The third proportional to 83,330 and 116,652 is: 163,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,330 : 116,652 = 116,652 : x
  2. Step 2: Convert to fraction form
    83,330/116,652 = 116,652/x
  3. Step 3: Cross multiply
    83,330x = 116,652 × 116,652
  4. Step 4: Simplify right side
    83,330x = 13,607,689,104
  5. Step 5: Solve for x
    x = 13,607,689,104/83,330
  6. Step 6: Final answer
    x = 163,298.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.