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Finding the Third Proportional to 69,543 and 152,206.50

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Solution

The third proportional to 69,543 and 152,206.50 is: 333,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,543 : 152,206.50 = 152,206.50 : x
  2. Step 2: Convert to fraction form
    69,543/152,206.50 = 152,206.50/x
  3. Step 3: Cross multiply
    69,543x = 152,206.50 × 152,206.50
  4. Step 4: Simplify right side
    69,543x = 23,166,818,642.25
  5. Step 5: Solve for x
    x = 23,166,818,642.25/69,543
  6. Step 6: Final answer
    x = 333,129.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.