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Finding the Third Proportional to 79,324 and 116,792

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Solution

The third proportional to 79,324 and 116,792 is: 171,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,324 : 116,792 = 116,792 : x
  2. Step 2: Convert to fraction form
    79,324/116,792 = 116,792/x
  3. Step 3: Cross multiply
    79,324x = 116,792 × 116,792
  4. Step 4: Simplify right side
    79,324x = 13,640,371,264
  5. Step 5: Solve for x
    x = 13,640,371,264/79,324
  6. Step 6: Final answer
    x = 171,957.68

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