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Finding the Third Proportional to 56,547 and 117,745.50

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Solution

The third proportional to 56,547 and 117,745.50 is: 245,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,547 : 117,745.50 = 117,745.50 : x
  2. Step 2: Convert to fraction form
    56,547/117,745.50 = 117,745.50/x
  3. Step 3: Cross multiply
    56,547x = 117,745.50 × 117,745.50
  4. Step 4: Simplify right side
    56,547x = 13,864,002,770.25
  5. Step 5: Solve for x
    x = 13,864,002,770.25/56,547
  6. Step 6: Final answer
    x = 245,176.63

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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.