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Finding the Third Proportional to 74,560 and 149,066

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Solution

The third proportional to 74,560 and 149,066 is: 298,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,560 : 149,066 = 149,066 : x
  2. Step 2: Convert to fraction form
    74,560/149,066 = 149,066/x
  3. Step 3: Cross multiply
    74,560x = 149,066 × 149,066
  4. Step 4: Simplify right side
    74,560x = 22,220,672,356
  5. Step 5: Solve for x
    x = 22,220,672,356/74,560
  6. Step 6: Final answer
    x = 298,024.04

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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.