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Finding the Third Proportional to 46,704 and 109,248

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Solution

The third proportional to 46,704 and 109,248 is: 255,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704 : 109,248 = 109,248 : x
  2. Step 2: Convert to fraction form
    46,704/109,248 = 109,248/x
  3. Step 3: Cross multiply
    46,704x = 109,248 × 109,248
  4. Step 4: Simplify right side
    46,704x = 11,935,125,504
  5. Step 5: Solve for x
    x = 11,935,125,504/46,704
  6. Step 6: Final answer
    x = 255,548.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.