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Finding the Third Proportional to 84,526.50 and 181,050

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Solution

The third proportional to 84,526.50 and 181,050 is: 387,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,526.50 : 181,050 = 181,050 : x
  2. Step 2: Convert to fraction form
    84,526.50/181,050 = 181,050/x
  3. Step 3: Cross multiply
    84,526.50x = 181,050 × 181,050
  4. Step 4: Simplify right side
    84,526.50x = 32,779,102,500
  5. Step 5: Solve for x
    x = 32,779,102,500/84,526.50
  6. Step 6: Final answer
    x = 387,796.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.