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Finding the Third Proportional to 46,754 and 101,284

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Solution

The third proportional to 46,754 and 101,284 is: 219,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,754 : 101,284 = 101,284 : x
  2. Step 2: Convert to fraction form
    46,754/101,284 = 101,284/x
  3. Step 3: Cross multiply
    46,754x = 101,284 × 101,284
  4. Step 4: Simplify right side
    46,754x = 10,258,448,656
  5. Step 5: Solve for x
    x = 10,258,448,656/46,754
  6. Step 6: Final answer
    x = 219,413.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.