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Finding the Third Proportional to 60,384 and 130,848

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Solution

The third proportional to 60,384 and 130,848 is: 283,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,384 : 130,848 = 130,848 : x
  2. Step 2: Convert to fraction form
    60,384/130,848 = 130,848/x
  3. Step 3: Cross multiply
    60,384x = 130,848 × 130,848
  4. Step 4: Simplify right side
    60,384x = 17,121,199,104
  5. Step 5: Solve for x
    x = 17,121,199,104/60,384
  6. Step 6: Final answer
    x = 283,538.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.