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Finding the Third Proportional to 104,072 and 148,716

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Solution

The third proportional to 104,072 and 148,716 is: 212,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,072 : 148,716 = 148,716 : x
  2. Step 2: Convert to fraction form
    104,072/148,716 = 148,716/x
  3. Step 3: Cross multiply
    104,072x = 148,716 × 148,716
  4. Step 4: Simplify right side
    104,072x = 22,116,448,656
  5. Step 5: Solve for x
    x = 22,116,448,656/104,072
  6. Step 6: Final answer
    x = 212,511.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.