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Finding the Third Proportional to 77,948 and 171,784

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Solution

The third proportional to 77,948 and 171,784 is: 378,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948 : 171,784 = 171,784 : x
  2. Step 2: Convert to fraction form
    77,948/171,784 = 171,784/x
  3. Step 3: Cross multiply
    77,948x = 171,784 × 171,784
  4. Step 4: Simplify right side
    77,948x = 29,509,742,656
  5. Step 5: Solve for x
    x = 29,509,742,656/77,948
  6. Step 6: Final answer
    x = 378,582.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.