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Finding the Third Proportional to 105,720.19 and 161,929.13

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Solution

The third proportional to 105,720.19 and 161,929.13 is: 248,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,720.19 : 161,929.13 = 161,929.13 : x
  2. Step 2: Convert to fraction form
    105,720.19/161,929.13 = 161,929.13/x
  3. Step 3: Cross multiply
    105,720.19x = 161,929.13 × 161,929.13
  4. Step 4: Simplify right side
    105,720.19x = 26,221,041,523.27
  5. Step 5: Solve for x
    x = 26,221,041,523.27/105,720.19
  6. Step 6: Final answer
    x = 248,023.03

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