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Finding the Third Proportional to 104,004 and 148,624

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Solution

The third proportional to 104,004 and 148,624 is: 212,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 148,624 = 148,624 : x
  2. Step 2: Convert to fraction form
    104,004/148,624 = 148,624/x
  3. Step 3: Cross multiply
    104,004x = 148,624 × 148,624
  4. Step 4: Simplify right side
    104,004x = 22,089,093,376
  5. Step 5: Solve for x
    x = 22,089,093,376/104,004
  6. Step 6: Final answer
    x = 212,386.96

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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.