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Finding the Third Proportional to 72,211 and 111,594.50

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Solution

The third proportional to 72,211 and 111,594.50 is: 172,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,211 : 111,594.50 = 111,594.50 : x
  2. Step 2: Convert to fraction form
    72,211/111,594.50 = 111,594.50/x
  3. Step 3: Cross multiply
    72,211x = 111,594.50 × 111,594.50
  4. Step 4: Simplify right side
    72,211x = 12,453,332,430.25
  5. Step 5: Solve for x
    x = 12,453,332,430.25/72,211
  6. Step 6: Final answer
    x = 172,457.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.