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Finding the Third Proportional to 42,336 and 60,240

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Solution

The third proportional to 42,336 and 60,240 is: 85,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,336 : 60,240 = 60,240 : x
  2. Step 2: Convert to fraction form
    42,336/60,240 = 60,240/x
  3. Step 3: Cross multiply
    42,336x = 60,240 × 60,240
  4. Step 4: Simplify right side
    42,336x = 3,628,857,600
  5. Step 5: Solve for x
    x = 3,628,857,600/42,336
  6. Step 6: Final answer
    x = 85,715.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.