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Finding the Third Proportional to 74,592 and 149,130

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Solution

The third proportional to 74,592 and 149,130 is: 298,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,592 : 149,130 = 149,130 : x
  2. Step 2: Convert to fraction form
    74,592/149,130 = 149,130/x
  3. Step 3: Cross multiply
    74,592x = 149,130 × 149,130
  4. Step 4: Simplify right side
    74,592x = 22,239,756,900
  5. Step 5: Solve for x
    x = 22,239,756,900/74,592
  6. Step 6: Final answer
    x = 298,152.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.