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Finding the Third Proportional to 46,970 and 110,814

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Solution

The third proportional to 46,970 and 110,814 is: 261,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970 : 110,814 = 110,814 : x
  2. Step 2: Convert to fraction form
    46,970/110,814 = 110,814/x
  3. Step 3: Cross multiply
    46,970x = 110,814 × 110,814
  4. Step 4: Simplify right side
    46,970x = 12,279,742,596
  5. Step 5: Solve for x
    x = 12,279,742,596/46,970
  6. Step 6: Final answer
    x = 261,437.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.