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Finding the Third Proportional to 105,598.69 and 161,010.28

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Solution

The third proportional to 105,598.69 and 161,010.28 is: 245,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.69 : 161,010.28 = 161,010.28 : x
  2. Step 2: Convert to fraction form
    105,598.69/161,010.28 = 161,010.28/x
  3. Step 3: Cross multiply
    105,598.69x = 161,010.28 × 161,010.28
  4. Step 4: Simplify right side
    105,598.69x = 25,924,310,668.20
  5. Step 5: Solve for x
    x = 25,924,310,668.20/105,598.69
  6. Step 6: Final answer
    x = 245,498.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.