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Finding the Third Proportional to 60,208 and 142,140

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Solution

The third proportional to 60,208 and 142,140 is: 335,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,208 : 142,140 = 142,140 : x
  2. Step 2: Convert to fraction form
    60,208/142,140 = 142,140/x
  3. Step 3: Cross multiply
    60,208x = 142,140 × 142,140
  4. Step 4: Simplify right side
    60,208x = 20,203,779,600
  5. Step 5: Solve for x
    x = 20,203,779,600/60,208
  6. Step 6: Final answer
    x = 335,566.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.