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Finding the Third Proportional to 103,843.50 and 155,590.50

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Solution

The third proportional to 103,843.50 and 155,590.50 is: 233,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843.50 : 155,590.50 = 155,590.50 : x
  2. Step 2: Convert to fraction form
    103,843.50/155,590.50 = 155,590.50/x
  3. Step 3: Cross multiply
    103,843.50x = 155,590.50 × 155,590.50
  4. Step 4: Simplify right side
    103,843.50x = 24,208,403,690.25
  5. Step 5: Solve for x
    x = 24,208,403,690.25/103,843.50
  6. Step 6: Final answer
    x = 233,123.92

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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.