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Finding the Third Proportional to 69,522.68 and 148,886.86

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Solution

The third proportional to 69,522.68 and 148,886.86 is: 318,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,522.68 : 148,886.86 = 148,886.86 : x
  2. Step 2: Convert to fraction form
    69,522.68/148,886.86 = 148,886.86/x
  3. Step 3: Cross multiply
    69,522.68x = 148,886.86 × 148,886.86
  4. Step 4: Simplify right side
    69,522.68x = 22,167,296,894.55
  5. Step 5: Solve for x
    x = 22,167,296,894.55/69,522.68
  6. Step 6: Final answer
    x = 318,849.86

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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.