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Finding the Third Proportional to 48,315.50 and 108,506

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Solution

The third proportional to 48,315.50 and 108,506 is: 243,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,315.50 : 108,506 = 108,506 : x
  2. Step 2: Convert to fraction form
    48,315.50/108,506 = 108,506/x
  3. Step 3: Cross multiply
    48,315.50x = 108,506 × 108,506
  4. Step 4: Simplify right side
    48,315.50x = 11,773,552,036
  5. Step 5: Solve for x
    x = 11,773,552,036/48,315.50
  6. Step 6: Final answer
    x = 243,680.64

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.