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Finding the Third Proportional to 105,277 and 161,981.75

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Solution

The third proportional to 105,277 and 161,981.75 is: 249,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,277 : 161,981.75 = 161,981.75 : x
  2. Step 2: Convert to fraction form
    105,277/161,981.75 = 161,981.75/x
  3. Step 3: Cross multiply
    105,277x = 161,981.75 × 161,981.75
  4. Step 4: Simplify right side
    105,277x = 26,238,087,333.06
  5. Step 5: Solve for x
    x = 26,238,087,333.06/105,277
  6. Step 6: Final answer
    x = 249,229.06

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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.