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Finding the Third Proportional to 103,690.50 and 152,133

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Solution

The third proportional to 103,690.50 and 152,133 is: 223,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690.50 : 152,133 = 152,133 : x
  2. Step 2: Convert to fraction form
    103,690.50/152,133 = 152,133/x
  3. Step 3: Cross multiply
    103,690.50x = 152,133 × 152,133
  4. Step 4: Simplify right side
    103,690.50x = 23,144,449,689
  5. Step 5: Solve for x
    x = 23,144,449,689/103,690.50
  6. Step 6: Final answer
    x = 223,207.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.