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Finding the Third Proportional to 48,627 and 107,460

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Solution

The third proportional to 48,627 and 107,460 is: 237,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,627 : 107,460 = 107,460 : x
  2. Step 2: Convert to fraction form
    48,627/107,460 = 107,460/x
  3. Step 3: Cross multiply
    48,627x = 107,460 × 107,460
  4. Step 4: Simplify right side
    48,627x = 11,547,651,600
  5. Step 5: Solve for x
    x = 11,547,651,600/48,627
  6. Step 6: Final answer
    x = 237,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.