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Finding the Third Proportional to 105,175.50 and 157,607.25

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Solution

The third proportional to 105,175.50 and 157,607.25 is: 236,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,175.50 : 157,607.25 = 157,607.25 : x
  2. Step 2: Convert to fraction form
    105,175.50/157,607.25 = 157,607.25/x
  3. Step 3: Cross multiply
    105,175.50x = 157,607.25 × 157,607.25
  4. Step 4: Simplify right side
    105,175.50x = 24,840,045,252.56
  5. Step 5: Solve for x
    x = 24,840,045,252.56/105,175.50
  6. Step 6: Final answer
    x = 236,177.11

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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.