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Finding the Third Proportional to 104,025 and 159,925.50

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Solution

The third proportional to 104,025 and 159,925.50 is: 245,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,025 : 159,925.50 = 159,925.50 : x
  2. Step 2: Convert to fraction form
    104,025/159,925.50 = 159,925.50/x
  3. Step 3: Cross multiply
    104,025x = 159,925.50 × 159,925.50
  4. Step 4: Simplify right side
    104,025x = 25,576,165,550.25
  5. Step 5: Solve for x
    x = 25,576,165,550.25/104,025
  6. Step 6: Final answer
    x = 245,865.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.