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Finding the Third Proportional to 83,640 and 173,070

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Solution

The third proportional to 83,640 and 173,070 is: 358,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640 : 173,070 = 173,070 : x
  2. Step 2: Convert to fraction form
    83,640/173,070 = 173,070/x
  3. Step 3: Cross multiply
    83,640x = 173,070 × 173,070
  4. Step 4: Simplify right side
    83,640x = 29,953,224,900
  5. Step 5: Solve for x
    x = 29,953,224,900/83,640
  6. Step 6: Final answer
    x = 358,120.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.