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Finding the Third Proportional to 66,494.25 and 142,330.50

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Solution

The third proportional to 66,494.25 and 142,330.50 is: 304,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,494.25 : 142,330.50 = 142,330.50 : x
  2. Step 2: Convert to fraction form
    66,494.25/142,330.50 = 142,330.50/x
  3. Step 3: Cross multiply
    66,494.25x = 142,330.50 × 142,330.50
  4. Step 4: Simplify right side
    66,494.25x = 20,257,971,230.25
  5. Step 5: Solve for x
    x = 20,257,971,230.25/66,494.25
  6. Step 6: Final answer
    x = 304,657.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.