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Finding the Third Proportional to 103,175.44 and 155,803.50

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Solution

The third proportional to 103,175.44 and 155,803.50 is: 235,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.44 : 155,803.50 = 155,803.50 : x
  2. Step 2: Convert to fraction form
    103,175.44/155,803.50 = 155,803.50/x
  3. Step 3: Cross multiply
    103,175.44x = 155,803.50 × 155,803.50
  4. Step 4: Simplify right side
    103,175.44x = 24,274,730,612.25
  5. Step 5: Solve for x
    x = 24,274,730,612.25/103,175.44
  6. Step 6: Final answer
    x = 235,276.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.