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Finding the Third Proportional to 116,544 and 175,784

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Solution

The third proportional to 116,544 and 175,784 is: 265,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544 : 175,784 = 175,784 : x
  2. Step 2: Convert to fraction form
    116,544/175,784 = 175,784/x
  3. Step 3: Cross multiply
    116,544x = 175,784 × 175,784
  4. Step 4: Simplify right side
    116,544x = 30,900,014,656
  5. Step 5: Solve for x
    x = 30,900,014,656/116,544
  6. Step 6: Final answer
    x = 265,136.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.