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Finding the Third Proportional to 46,852 and 99,138

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Solution

The third proportional to 46,852 and 99,138 is: 209,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852 : 99,138 = 99,138 : x
  2. Step 2: Convert to fraction form
    46,852/99,138 = 99,138/x
  3. Step 3: Cross multiply
    46,852x = 99,138 × 99,138
  4. Step 4: Simplify right side
    46,852x = 9,828,343,044
  5. Step 5: Solve for x
    x = 9,828,343,044/46,852
  6. Step 6: Final answer
    x = 209,774.25

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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.