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Finding the Third Proportional to 56,588 and 117,826

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Solution

The third proportional to 56,588 and 117,826 is: 245,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,588 : 117,826 = 117,826 : x
  2. Step 2: Convert to fraction form
    56,588/117,826 = 117,826/x
  3. Step 3: Cross multiply
    56,588x = 117,826 × 117,826
  4. Step 4: Simplify right side
    56,588x = 13,882,966,276
  5. Step 5: Solve for x
    x = 13,882,966,276/56,588
  6. Step 6: Final answer
    x = 245,334.10

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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.