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Finding the Third Proportional to 105,276.88 and 161,981.38

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Solution

The third proportional to 105,276.88 and 161,981.38 is: 249,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,276.88 : 161,981.38 = 161,981.38 : x
  2. Step 2: Convert to fraction form
    105,276.88/161,981.38 = 161,981.38/x
  3. Step 3: Cross multiply
    105,276.88x = 161,981.38 × 161,981.38
  4. Step 4: Simplify right side
    105,276.88x = 26,237,965,846.89
  5. Step 5: Solve for x
    x = 26,237,965,846.89/105,276.88
  6. Step 6: Final answer
    x = 249,228.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.