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Finding the Third Proportional to 46,138 and 71,283

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Solution

The third proportional to 46,138 and 71,283 is: 110,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,138 : 71,283 = 71,283 : x
  2. Step 2: Convert to fraction form
    46,138/71,283 = 71,283/x
  3. Step 3: Cross multiply
    46,138x = 71,283 × 71,283
  4. Step 4: Simplify right side
    46,138x = 5,081,266,089
  5. Step 5: Solve for x
    x = 5,081,266,089/46,138
  6. Step 6: Final answer
    x = 110,131.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.