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Finding the Third Proportional to 69,528.38 and 104,378.63

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Solution

The third proportional to 69,528.38 and 104,378.63 is: 156,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,528.38 : 104,378.63 = 104,378.63 : x
  2. Step 2: Convert to fraction form
    69,528.38/104,378.63 = 104,378.63/x
  3. Step 3: Cross multiply
    69,528.38x = 104,378.63 × 104,378.63
  4. Step 4: Simplify right side
    69,528.38x = 10,894,897,356.89
  5. Step 5: Solve for x
    x = 10,894,897,356.89/69,528.38
  6. Step 6: Final answer
    x = 156,697.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.