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Finding the Third Proportional to 69,666.75 and 101,580.75

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Solution

The third proportional to 69,666.75 and 101,580.75 is: 148,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,666.75 : 101,580.75 = 101,580.75 : x
  2. Step 2: Convert to fraction form
    69,666.75/101,580.75 = 101,580.75/x
  3. Step 3: Cross multiply
    69,666.75x = 101,580.75 × 101,580.75
  4. Step 4: Simplify right side
    69,666.75x = 10,318,648,770.56
  5. Step 5: Solve for x
    x = 10,318,648,770.56/69,666.75
  6. Step 6: Final answer
    x = 148,114.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.