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Finding the Third Proportional to 42,180 and 64,728

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Solution

The third proportional to 42,180 and 64,728 is: 99,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,180 : 64,728 = 64,728 : x
  2. Step 2: Convert to fraction form
    42,180/64,728 = 64,728/x
  3. Step 3: Cross multiply
    42,180x = 64,728 × 64,728
  4. Step 4: Simplify right side
    42,180x = 4,189,713,984
  5. Step 5: Solve for x
    x = 4,189,713,984/42,180
  6. Step 6: Final answer
    x = 99,329.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.