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Finding the Third Proportional to 104,046 and 155,784

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Solution

The third proportional to 104,046 and 155,784 is: 233,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,046 : 155,784 = 155,784 : x
  2. Step 2: Convert to fraction form
    104,046/155,784 = 155,784/x
  3. Step 3: Cross multiply
    104,046x = 155,784 × 155,784
  4. Step 4: Simplify right side
    104,046x = 24,268,654,656
  5. Step 5: Solve for x
    x = 24,268,654,656/104,046
  6. Step 6: Final answer
    x = 233,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.