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Finding the Third Proportional to 73,059.47 and 109,798.03

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Solution

The third proportional to 73,059.47 and 109,798.03 is: 165,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,059.47 : 109,798.03 = 109,798.03 : x
  2. Step 2: Convert to fraction form
    73,059.47/109,798.03 = 109,798.03/x
  3. Step 3: Cross multiply
    73,059.47x = 109,798.03 × 109,798.03
  4. Step 4: Simplify right side
    73,059.47x = 12,055,607,666.38
  5. Step 5: Solve for x
    x = 12,055,607,666.38/73,059.47
  6. Step 6: Final answer
    x = 165,010.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.