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Finding the Third Proportional to 46,121 and 69,605.50

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Solution

The third proportional to 46,121 and 69,605.50 is: 105,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,121 : 69,605.50 = 69,605.50 : x
  2. Step 2: Convert to fraction form
    46,121/69,605.50 = 69,605.50/x
  3. Step 3: Cross multiply
    46,121x = 69,605.50 × 69,605.50
  4. Step 4: Simplify right side
    46,121x = 4,844,925,630.25
  5. Step 5: Solve for x
    x = 4,844,925,630.25/46,121
  6. Step 6: Final answer
    x = 105,048.15

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