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Finding the Third Proportional to 37,025 and 81,258.50

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Solution

The third proportional to 37,025 and 81,258.50 is: 178,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,025 : 81,258.50 = 81,258.50 : x
  2. Step 2: Convert to fraction form
    37,025/81,258.50 = 81,258.50/x
  3. Step 3: Cross multiply
    37,025x = 81,258.50 × 81,258.50
  4. Step 4: Simplify right side
    37,025x = 6,602,943,822.25
  5. Step 5: Solve for x
    x = 6,602,943,822.25/37,025
  6. Step 6: Final answer
    x = 178,337.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.