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Finding the Third Proportional to 74,564 and 149,072

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Solution

The third proportional to 74,564 and 149,072 is: 298,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564 : 149,072 = 149,072 : x
  2. Step 2: Convert to fraction form
    74,564/149,072 = 149,072/x
  3. Step 3: Cross multiply
    74,564x = 149,072 × 149,072
  4. Step 4: Simplify right side
    74,564x = 22,222,461,184
  5. Step 5: Solve for x
    x = 22,222,461,184/74,564
  6. Step 6: Final answer
    x = 298,032.04

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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.