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Finding the Third Proportional to 74,429 and 101,069.50

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Solution

The third proportional to 74,429 and 101,069.50 is: 137,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,429 : 101,069.50 = 101,069.50 : x
  2. Step 2: Convert to fraction form
    74,429/101,069.50 = 101,069.50/x
  3. Step 3: Cross multiply
    74,429x = 101,069.50 × 101,069.50
  4. Step 4: Simplify right side
    74,429x = 10,215,043,830.25
  5. Step 5: Solve for x
    x = 10,215,043,830.25/74,429
  6. Step 6: Final answer
    x = 137,245.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.