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Finding the Third Proportional to 46,942 and 96,070

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Solution

The third proportional to 46,942 and 96,070 is: 196,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942 : 96,070 = 96,070 : x
  2. Step 2: Convert to fraction form
    46,942/96,070 = 96,070/x
  3. Step 3: Cross multiply
    46,942x = 96,070 × 96,070
  4. Step 4: Simplify right side
    46,942x = 9,229,444,900
  5. Step 5: Solve for x
    x = 9,229,444,900/46,942
  6. Step 6: Final answer
    x = 196,613.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.