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Finding the Third Proportional to 101,792 and 153,804

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Solution

The third proportional to 101,792 and 153,804 is: 232,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792 : 153,804 = 153,804 : x
  2. Step 2: Convert to fraction form
    101,792/153,804 = 153,804/x
  3. Step 3: Cross multiply
    101,792x = 153,804 × 153,804
  4. Step 4: Simplify right side
    101,792x = 23,655,670,416
  5. Step 5: Solve for x
    x = 23,655,670,416/101,792
  6. Step 6: Final answer
    x = 232,392.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.