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Finding the Third Proportional to 48,000 and 112,139

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Solution

The third proportional to 48,000 and 112,139 is: 261,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 112,139 = 112,139 : x
  2. Step 2: Convert to fraction form
    48,000/112,139 = 112,139/x
  3. Step 3: Cross multiply
    48,000x = 112,139 × 112,139
  4. Step 4: Simplify right side
    48,000x = 12,575,155,321
  5. Step 5: Solve for x
    x = 12,575,155,321/48,000
  6. Step 6: Final answer
    x = 261,982.40

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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.