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Finding the Third Proportional to 65,378.50 and 141,125

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Solution

The third proportional to 65,378.50 and 141,125 is: 304,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.50 : 141,125 = 141,125 : x
  2. Step 2: Convert to fraction form
    65,378.50/141,125 = 141,125/x
  3. Step 3: Cross multiply
    65,378.50x = 141,125 × 141,125
  4. Step 4: Simplify right side
    65,378.50x = 19,916,265,625
  5. Step 5: Solve for x
    x = 19,916,265,625/65,378.50
  6. Step 6: Final answer
    x = 304,630.20

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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.