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Finding the Third Proportional to 69,624.75 and 101,503.13

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Solution

The third proportional to 69,624.75 and 101,503.13 is: 147,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,624.75 : 101,503.13 = 101,503.13 : x
  2. Step 2: Convert to fraction form
    69,624.75/101,503.13 = 101,503.13/x
  3. Step 3: Cross multiply
    69,624.75x = 101,503.13 × 101,503.13
  4. Step 4: Simplify right side
    69,624.75x = 10,302,884,384.77
  5. Step 5: Solve for x
    x = 10,302,884,384.77/69,624.75
  6. Step 6: Final answer
    x = 147,977.33

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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.