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Finding the Third Proportional to 130,693.50 and 184,050

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Solution

The third proportional to 130,693.50 and 184,050 is: 259,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,693.50 : 184,050 = 184,050 : x
  2. Step 2: Convert to fraction form
    130,693.50/184,050 = 184,050/x
  3. Step 3: Cross multiply
    130,693.50x = 184,050 × 184,050
  4. Step 4: Simplify right side
    130,693.50x = 33,874,402,500
  5. Step 5: Solve for x
    x = 33,874,402,500/130,693.50
  6. Step 6: Final answer
    x = 259,189.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.