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Finding the Third Proportional to 48,270 and 112,779

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Solution

The third proportional to 48,270 and 112,779 is: 263,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270 : 112,779 = 112,779 : x
  2. Step 2: Convert to fraction form
    48,270/112,779 = 112,779/x
  3. Step 3: Cross multiply
    48,270x = 112,779 × 112,779
  4. Step 4: Simplify right side
    48,270x = 12,719,102,841
  5. Step 5: Solve for x
    x = 12,719,102,841/48,270
  6. Step 6: Final answer
    x = 263,499.13

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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.