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Finding the Third Proportional to 49,060 and 103,964

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Solution

The third proportional to 49,060 and 103,964 is: 220,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060 : 103,964 = 103,964 : x
  2. Step 2: Convert to fraction form
    49,060/103,964 = 103,964/x
  3. Step 3: Cross multiply
    49,060x = 103,964 × 103,964
  4. Step 4: Simplify right side
    49,060x = 10,808,513,296
  5. Step 5: Solve for x
    x = 10,808,513,296/49,060
  6. Step 6: Final answer
    x = 220,312.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.