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Finding the Third Proportional to 56,582 and 117,816

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Solution

The third proportional to 56,582 and 117,816 is: 245,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,582 : 117,816 = 117,816 : x
  2. Step 2: Convert to fraction form
    56,582/117,816 = 117,816/x
  3. Step 3: Cross multiply
    56,582x = 117,816 × 117,816
  4. Step 4: Simplify right side
    56,582x = 13,880,609,856
  5. Step 5: Solve for x
    x = 13,880,609,856/56,582
  6. Step 6: Final answer
    x = 245,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.