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Finding the Third Proportional to 65,274.19 and 143,148.94

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Solution

The third proportional to 65,274.19 and 143,148.94 is: 313,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.19 : 143,148.94 = 143,148.94 : x
  2. Step 2: Convert to fraction form
    65,274.19/143,148.94 = 143,148.94/x
  3. Step 3: Cross multiply
    65,274.19x = 143,148.94 × 143,148.94
  4. Step 4: Simplify right side
    65,274.19x = 20,491,618,307.38
  5. Step 5: Solve for x
    x = 20,491,618,307.38/65,274.19
  6. Step 6: Final answer
    x = 313,931.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.