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Finding the Third Proportional to 48,972 and 106,088

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Solution

The third proportional to 48,972 and 106,088 is: 229,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972 : 106,088 = 106,088 : x
  2. Step 2: Convert to fraction form
    48,972/106,088 = 106,088/x
  3. Step 3: Cross multiply
    48,972x = 106,088 × 106,088
  4. Step 4: Simplify right side
    48,972x = 11,254,663,744
  5. Step 5: Solve for x
    x = 11,254,663,744/48,972
  6. Step 6: Final answer
    x = 229,818.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.