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Finding the Third Proportional to 44,128 and 63,072

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Solution

The third proportional to 44,128 and 63,072 is: 90,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 63,072 = 63,072 : x
  2. Step 2: Convert to fraction form
    44,128/63,072 = 63,072/x
  3. Step 3: Cross multiply
    44,128x = 63,072 × 63,072
  4. Step 4: Simplify right side
    44,128x = 3,978,077,184
  5. Step 5: Solve for x
    x = 3,978,077,184/44,128
  6. Step 6: Final answer
    x = 90,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.