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Finding the Third Proportional to 69,732 and 149,040

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Solution

The third proportional to 69,732 and 149,040 is: 318,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,732 : 149,040 = 149,040 : x
  2. Step 2: Convert to fraction form
    69,732/149,040 = 149,040/x
  3. Step 3: Cross multiply
    69,732x = 149,040 × 149,040
  4. Step 4: Simplify right side
    69,732x = 22,212,921,600
  5. Step 5: Solve for x
    x = 22,212,921,600/69,732
  6. Step 6: Final answer
    x = 318,547.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.