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Finding the Third Proportional to 113,259 and 158,428.50

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Solution

The third proportional to 113,259 and 158,428.50 is: 221,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,259 : 158,428.50 = 158,428.50 : x
  2. Step 2: Convert to fraction form
    113,259/158,428.50 = 158,428.50/x
  3. Step 3: Cross multiply
    113,259x = 158,428.50 × 158,428.50
  4. Step 4: Simplify right side
    113,259x = 25,099,589,612.25
  5. Step 5: Solve for x
    x = 25,099,589,612.25/113,259
  6. Step 6: Final answer
    x = 221,612.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.