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Finding the Third Proportional to 104,798 and 148,146

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Solution

The third proportional to 104,798 and 148,146 is: 209,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,798 : 148,146 = 148,146 : x
  2. Step 2: Convert to fraction form
    104,798/148,146 = 148,146/x
  3. Step 3: Cross multiply
    104,798x = 148,146 × 148,146
  4. Step 4: Simplify right side
    104,798x = 21,947,237,316
  5. Step 5: Solve for x
    x = 21,947,237,316/104,798
  6. Step 6: Final answer
    x = 209,424.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.