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Finding the Third Proportional to 74,792 and 163,664

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Solution

The third proportional to 74,792 and 163,664 is: 358,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,792 : 163,664 = 163,664 : x
  2. Step 2: Convert to fraction form
    74,792/163,664 = 163,664/x
  3. Step 3: Cross multiply
    74,792x = 163,664 × 163,664
  4. Step 4: Simplify right side
    74,792x = 26,785,904,896
  5. Step 5: Solve for x
    x = 26,785,904,896/74,792
  6. Step 6: Final answer
    x = 358,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.