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Finding the Third Proportional to 61,381.75 and 95,803.50

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Solution

The third proportional to 61,381.75 and 95,803.50 is: 149,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,381.75 : 95,803.50 = 95,803.50 : x
  2. Step 2: Convert to fraction form
    61,381.75/95,803.50 = 95,803.50/x
  3. Step 3: Cross multiply
    61,381.75x = 95,803.50 × 95,803.50
  4. Step 4: Simplify right side
    61,381.75x = 9,178,310,612.25
  5. Step 5: Solve for x
    x = 9,178,310,612.25/61,381.75
  6. Step 6: Final answer
    x = 149,528.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.