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Finding the Third Proportional to 53,746 and 117,050

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Solution

The third proportional to 53,746 and 117,050 is: 254,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746 : 117,050 = 117,050 : x
  2. Step 2: Convert to fraction form
    53,746/117,050 = 117,050/x
  3. Step 3: Cross multiply
    53,746x = 117,050 × 117,050
  4. Step 4: Simplify right side
    53,746x = 13,700,702,500
  5. Step 5: Solve for x
    x = 13,700,702,500/53,746
  6. Step 6: Final answer
    x = 254,915.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.