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Finding the Third Proportional to 74,011 and 112,858.50

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Solution

The third proportional to 74,011 and 112,858.50 is: 172,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,011 : 112,858.50 = 112,858.50 : x
  2. Step 2: Convert to fraction form
    74,011/112,858.50 = 112,858.50/x
  3. Step 3: Cross multiply
    74,011x = 112,858.50 × 112,858.50
  4. Step 4: Simplify right side
    74,011x = 12,737,041,022.25
  5. Step 5: Solve for x
    x = 12,737,041,022.25/74,011
  6. Step 6: Final answer
    x = 172,096.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.