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Finding the Third Proportional to 109,064 and 160,000

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Solution

The third proportional to 109,064 and 160,000 is: 234,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064 : 160,000 = 160,000 : x
  2. Step 2: Convert to fraction form
    109,064/160,000 = 160,000/x
  3. Step 3: Cross multiply
    109,064x = 160,000 × 160,000
  4. Step 4: Simplify right side
    109,064x = 25,600,000,000
  5. Step 5: Solve for x
    x = 25,600,000,000/109,064
  6. Step 6: Final answer
    x = 234,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.