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Finding the Third Proportional to 65,893 and 142,154

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Solution

The third proportional to 65,893 and 142,154 is: 306,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893 : 142,154 = 142,154 : x
  2. Step 2: Convert to fraction form
    65,893/142,154 = 142,154/x
  3. Step 3: Cross multiply
    65,893x = 142,154 × 142,154
  4. Step 4: Simplify right side
    65,893x = 20,207,759,716
  5. Step 5: Solve for x
    x = 20,207,759,716/65,893
  6. Step 6: Final answer
    x = 306,675.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.