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Finding the Third Proportional to 48,734 and 106,594

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Solution

The third proportional to 48,734 and 106,594 is: 233,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,734 : 106,594 = 106,594 : x
  2. Step 2: Convert to fraction form
    48,734/106,594 = 106,594/x
  3. Step 3: Cross multiply
    48,734x = 106,594 × 106,594
  4. Step 4: Simplify right side
    48,734x = 11,362,280,836
  5. Step 5: Solve for x
    x = 11,362,280,836/48,734
  6. Step 6: Final answer
    x = 233,148.95

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Why These Related Problems?

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