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Finding the Third Proportional to 49,106 and 106,060

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Solution

The third proportional to 49,106 and 106,060 is: 229,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,106 : 106,060 = 106,060 : x
  2. Step 2: Convert to fraction form
    49,106/106,060 = 106,060/x
  3. Step 3: Cross multiply
    49,106x = 106,060 × 106,060
  4. Step 4: Simplify right side
    49,106x = 11,248,723,600
  5. Step 5: Solve for x
    x = 11,248,723,600/49,106
  6. Step 6: Final answer
    x = 229,070.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.