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Finding the Third Proportional to 46,046 and 72,771

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Solution

The third proportional to 46,046 and 72,771 is: 115,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046 : 72,771 = 72,771 : x
  2. Step 2: Convert to fraction form
    46,046/72,771 = 72,771/x
  3. Step 3: Cross multiply
    46,046x = 72,771 × 72,771
  4. Step 4: Simplify right side
    46,046x = 5,295,618,441
  5. Step 5: Solve for x
    x = 5,295,618,441/46,046
  6. Step 6: Final answer
    x = 115,007.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.