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Finding the Third Proportional to 114,913 and 171,678

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Solution

The third proportional to 114,913 and 171,678 is: 256,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,913 : 171,678 = 171,678 : x
  2. Step 2: Convert to fraction form
    114,913/171,678 = 171,678/x
  3. Step 3: Cross multiply
    114,913x = 171,678 × 171,678
  4. Step 4: Simplify right side
    114,913x = 29,473,335,684
  5. Step 5: Solve for x
    x = 29,473,335,684/114,913
  6. Step 6: Final answer
    x = 256,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.