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Finding the Third Proportional to 48,836 and 93,784

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Solution

The third proportional to 48,836 and 93,784 is: 180,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,836 : 93,784 = 93,784 : x
  2. Step 2: Convert to fraction form
    48,836/93,784 = 93,784/x
  3. Step 3: Cross multiply
    48,836x = 93,784 × 93,784
  4. Step 4: Simplify right side
    48,836x = 8,795,438,656
  5. Step 5: Solve for x
    x = 8,795,438,656/48,836
  6. Step 6: Final answer
    x = 180,101.54

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.