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Finding the Third Proportional to 90,747 and 147,703.50

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Solution

The third proportional to 90,747 and 147,703.50 is: 240,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,747 : 147,703.50 = 147,703.50 : x
  2. Step 2: Convert to fraction form
    90,747/147,703.50 = 147,703.50/x
  3. Step 3: Cross multiply
    90,747x = 147,703.50 × 147,703.50
  4. Step 4: Simplify right side
    90,747x = 21,816,323,912.25
  5. Step 5: Solve for x
    x = 21,816,323,912.25/90,747
  6. Step 6: Final answer
    x = 240,408.21

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.