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Finding the Third Proportional to 104,895 and 157,306.50

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Solution

The third proportional to 104,895 and 157,306.50 is: 235,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 157,306.50 = 157,306.50 : x
  2. Step 2: Convert to fraction form
    104,895/157,306.50 = 157,306.50/x
  3. Step 3: Cross multiply
    104,895x = 157,306.50 × 157,306.50
  4. Step 4: Simplify right side
    104,895x = 24,745,334,942.25
  5. Step 5: Solve for x
    x = 24,745,334,942.25/104,895
  6. Step 6: Final answer
    x = 235,905.76

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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.