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Finding the Third Proportional to 72,652 and 111,091

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Solution

The third proportional to 72,652 and 111,091 is: 169,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652 : 111,091 = 111,091 : x
  2. Step 2: Convert to fraction form
    72,652/111,091 = 111,091/x
  3. Step 3: Cross multiply
    72,652x = 111,091 × 111,091
  4. Step 4: Simplify right side
    72,652x = 12,341,210,281
  5. Step 5: Solve for x
    x = 12,341,210,281/72,652
  6. Step 6: Final answer
    x = 169,867.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.