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Finding the Third Proportional to 51,732 and 96,079.50

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Solution

The third proportional to 51,732 and 96,079.50 is: 178,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 96,079.50 = 96,079.50 : x
  2. Step 2: Convert to fraction form
    51,732/96,079.50 = 96,079.50/x
  3. Step 3: Cross multiply
    51,732x = 96,079.50 × 96,079.50
  4. Step 4: Simplify right side
    51,732x = 9,231,270,320.25
  5. Step 5: Solve for x
    x = 9,231,270,320.25/51,732
  6. Step 6: Final answer
    x = 178,444.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.