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Finding the Third Proportional to 46,101.75 and 68,895.75

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Solution

The third proportional to 46,101.75 and 68,895.75 is: 102,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.75 : 68,895.75 = 68,895.75 : x
  2. Step 2: Convert to fraction form
    46,101.75/68,895.75 = 68,895.75/x
  3. Step 3: Cross multiply
    46,101.75x = 68,895.75 × 68,895.75
  4. Step 4: Simplify right side
    46,101.75x = 4,746,624,368.06
  5. Step 5: Solve for x
    x = 4,746,624,368.06/46,101.75
  6. Step 6: Final answer
    x = 102,959.74

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