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Finding the Third Proportional to 96,957 and 142,239

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Solution

The third proportional to 96,957 and 142,239 is: 208,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,957 : 142,239 = 142,239 : x
  2. Step 2: Convert to fraction form
    96,957/142,239 = 142,239/x
  3. Step 3: Cross multiply
    96,957x = 142,239 × 142,239
  4. Step 4: Simplify right side
    96,957x = 20,231,933,121
  5. Step 5: Solve for x
    x = 20,231,933,121/96,957
  6. Step 6: Final answer
    x = 208,669.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.