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Finding the Third Proportional to 51,213 and 79,123.50

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Solution

The third proportional to 51,213 and 79,123.50 is: 122,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213 : 79,123.50 = 79,123.50 : x
  2. Step 2: Convert to fraction form
    51,213/79,123.50 = 79,123.50/x
  3. Step 3: Cross multiply
    51,213x = 79,123.50 × 79,123.50
  4. Step 4: Simplify right side
    51,213x = 6,260,528,252.25
  5. Step 5: Solve for x
    x = 6,260,528,252.25/51,213
  6. Step 6: Final answer
    x = 122,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.