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Finding the Third Proportional to 48,440 and 103,792

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Solution

The third proportional to 48,440 and 103,792 is: 222,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,440 : 103,792 = 103,792 : x
  2. Step 2: Convert to fraction form
    48,440/103,792 = 103,792/x
  3. Step 3: Cross multiply
    48,440x = 103,792 × 103,792
  4. Step 4: Simplify right side
    48,440x = 10,772,779,264
  5. Step 5: Solve for x
    x = 10,772,779,264/48,440
  6. Step 6: Final answer
    x = 222,394.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.