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Finding the Third Proportional to 42,159 and 63,129

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Solution

The third proportional to 42,159 and 63,129 is: 94,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,159 : 63,129 = 63,129 : x
  2. Step 2: Convert to fraction form
    42,159/63,129 = 63,129/x
  3. Step 3: Cross multiply
    42,159x = 63,129 × 63,129
  4. Step 4: Simplify right side
    42,159x = 3,985,270,641
  5. Step 5: Solve for x
    x = 3,985,270,641/42,159
  6. Step 6: Final answer
    x = 94,529.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.