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Finding the Third Proportional to 48,526 and 105,594

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Solution

The third proportional to 48,526 and 105,594 is: 229,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,526 : 105,594 = 105,594 : x
  2. Step 2: Convert to fraction form
    48,526/105,594 = 105,594/x
  3. Step 3: Cross multiply
    48,526x = 105,594 × 105,594
  4. Step 4: Simplify right side
    48,526x = 11,150,092,836
  5. Step 5: Solve for x
    x = 11,150,092,836/48,526
  6. Step 6: Final answer
    x = 229,775.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.