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Finding the Third Proportional to 55,378.69 and 85,915.69

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Solution

The third proportional to 55,378.69 and 85,915.69 is: 133,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,378.69 : 85,915.69 = 85,915.69 : x
  2. Step 2: Convert to fraction form
    55,378.69/85,915.69 = 85,915.69/x
  3. Step 3: Cross multiply
    55,378.69x = 85,915.69 × 85,915.69
  4. Step 4: Simplify right side
    55,378.69x = 7,381,505,358.60
  5. Step 5: Solve for x
    x = 7,381,505,358.60/55,378.69
  6. Step 6: Final answer
    x = 133,291.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.