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Finding the Third Proportional to 52,708 and 115,784

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Solution

The third proportional to 52,708 and 115,784 is: 254,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708 : 115,784 = 115,784 : x
  2. Step 2: Convert to fraction form
    52,708/115,784 = 115,784/x
  3. Step 3: Cross multiply
    52,708x = 115,784 × 115,784
  4. Step 4: Simplify right side
    52,708x = 13,405,934,656
  5. Step 5: Solve for x
    x = 13,405,934,656/52,708
  6. Step 6: Final answer
    x = 254,343.45

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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.