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Finding the Third Proportional to 51,772.50 and 79,164

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Solution

The third proportional to 51,772.50 and 79,164 is: 121,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.50 : 79,164 = 79,164 : x
  2. Step 2: Convert to fraction form
    51,772.50/79,164 = 79,164/x
  3. Step 3: Cross multiply
    51,772.50x = 79,164 × 79,164
  4. Step 4: Simplify right side
    51,772.50x = 6,266,938,896
  5. Step 5: Solve for x
    x = 6,266,938,896/51,772.50
  6. Step 6: Final answer
    x = 121,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.