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Finding the Third Proportional to 46,818 and 97,526

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Solution

The third proportional to 46,818 and 97,526 is: 203,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,818 : 97,526 = 97,526 : x
  2. Step 2: Convert to fraction form
    46,818/97,526 = 97,526/x
  3. Step 3: Cross multiply
    46,818x = 97,526 × 97,526
  4. Step 4: Simplify right side
    46,818x = 9,511,320,676
  5. Step 5: Solve for x
    x = 9,511,320,676/46,818
  6. Step 6: Final answer
    x = 203,155.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.