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Finding the Third Proportional to 48,522 and 106,095

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Solution

The third proportional to 48,522 and 106,095 is: 231,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,522 : 106,095 = 106,095 : x
  2. Step 2: Convert to fraction form
    48,522/106,095 = 106,095/x
  3. Step 3: Cross multiply
    48,522x = 106,095 × 106,095
  4. Step 4: Simplify right side
    48,522x = 11,256,149,025
  5. Step 5: Solve for x
    x = 11,256,149,025/48,522
  6. Step 6: Final answer
    x = 231,980.32

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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.