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Finding the Third Proportional to 72,454 and 149,564

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Solution

The third proportional to 72,454 and 149,564 is: 308,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454 : 149,564 = 149,564 : x
  2. Step 2: Convert to fraction form
    72,454/149,564 = 149,564/x
  3. Step 3: Cross multiply
    72,454x = 149,564 × 149,564
  4. Step 4: Simplify right side
    72,454x = 22,369,390,096
  5. Step 5: Solve for x
    x = 22,369,390,096/72,454
  6. Step 6: Final answer
    x = 308,739.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.