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Finding the Third Proportional to 103,848.75 and 155,599.88

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Solution

The third proportional to 103,848.75 and 155,599.88 is: 233,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,848.75 : 155,599.88 = 155,599.88 : x
  2. Step 2: Convert to fraction form
    103,848.75/155,599.88 = 155,599.88/x
  3. Step 3: Cross multiply
    103,848.75x = 155,599.88 × 155,599.88
  4. Step 4: Simplify right side
    103,848.75x = 24,211,321,100.02
  5. Step 5: Solve for x
    x = 24,211,321,100.02/103,848.75
  6. Step 6: Final answer
    x = 233,140.23

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Why These Related Problems?

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