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Finding the Third Proportional to 48,820 and 105,028

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Solution

The third proportional to 48,820 and 105,028 is: 225,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 105,028 = 105,028 : x
  2. Step 2: Convert to fraction form
    48,820/105,028 = 105,028/x
  3. Step 3: Cross multiply
    48,820x = 105,028 × 105,028
  4. Step 4: Simplify right side
    48,820x = 11,030,880,784
  5. Step 5: Solve for x
    x = 11,030,880,784/48,820
  6. Step 6: Final answer
    x = 225,950.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.