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Finding the Third Proportional to 46,785 and 101,058

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Solution

The third proportional to 46,785 and 101,058 is: 218,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785 : 101,058 = 101,058 : x
  2. Step 2: Convert to fraction form
    46,785/101,058 = 101,058/x
  3. Step 3: Cross multiply
    46,785x = 101,058 × 101,058
  4. Step 4: Simplify right side
    46,785x = 10,212,719,364
  5. Step 5: Solve for x
    x = 10,212,719,364/46,785
  6. Step 6: Final answer
    x = 218,290.46

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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.