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Finding the Third Proportional to 56,596 and 116,778

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Solution

The third proportional to 56,596 and 116,778 is: 240,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,596 : 116,778 = 116,778 : x
  2. Step 2: Convert to fraction form
    56,596/116,778 = 116,778/x
  3. Step 3: Cross multiply
    56,596x = 116,778 × 116,778
  4. Step 4: Simplify right side
    56,596x = 13,637,101,284
  5. Step 5: Solve for x
    x = 13,637,101,284/56,596
  6. Step 6: Final answer
    x = 240,955.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.