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Finding the Third Proportional to 29,123 and 68,460.50

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Solution

The third proportional to 29,123 and 68,460.50 is: 160,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123 : 68,460.50 = 68,460.50 : x
  2. Step 2: Convert to fraction form
    29,123/68,460.50 = 68,460.50/x
  3. Step 3: Cross multiply
    29,123x = 68,460.50 × 68,460.50
  4. Step 4: Simplify right side
    29,123x = 4,686,840,060.25
  5. Step 5: Solve for x
    x = 4,686,840,060.25/29,123
  6. Step 6: Final answer
    x = 160,932.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.