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Finding the Third Proportional to 46,735 and 70,087

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Solution

The third proportional to 46,735 and 70,087 is: 105,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,735 : 70,087 = 70,087 : x
  2. Step 2: Convert to fraction form
    46,735/70,087 = 70,087/x
  3. Step 3: Cross multiply
    46,735x = 70,087 × 70,087
  4. Step 4: Simplify right side
    46,735x = 4,912,187,569
  5. Step 5: Solve for x
    x = 4,912,187,569/46,735
  6. Step 6: Final answer
    x = 105,107.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.