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Finding the Third Proportional to 122,792 and 183,430

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Solution

The third proportional to 122,792 and 183,430 is: 274,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,792 : 183,430 = 183,430 : x
  2. Step 2: Convert to fraction form
    122,792/183,430 = 183,430/x
  3. Step 3: Cross multiply
    122,792x = 183,430 × 183,430
  4. Step 4: Simplify right side
    122,792x = 33,646,564,900
  5. Step 5: Solve for x
    x = 33,646,564,900/122,792
  6. Step 6: Final answer
    x = 274,012.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.