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Finding the Third Proportional to 104,185.50 and 155,591

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Solution

The third proportional to 104,185.50 and 155,591 is: 232,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,185.50 : 155,591 = 155,591 : x
  2. Step 2: Convert to fraction form
    104,185.50/155,591 = 155,591/x
  3. Step 3: Cross multiply
    104,185.50x = 155,591 × 155,591
  4. Step 4: Simplify right side
    104,185.50x = 24,208,559,281
  5. Step 5: Solve for x
    x = 24,208,559,281/104,185.50
  6. Step 6: Final answer
    x = 232,360.16

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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.