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Finding the Third Proportional to 48,017 and 103,141

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Solution

The third proportional to 48,017 and 103,141 is: 221,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017 : 103,141 = 103,141 : x
  2. Step 2: Convert to fraction form
    48,017/103,141 = 103,141/x
  3. Step 3: Cross multiply
    48,017x = 103,141 × 103,141
  4. Step 4: Simplify right side
    48,017x = 10,638,065,881
  5. Step 5: Solve for x
    x = 10,638,065,881/48,017
  6. Step 6: Final answer
    x = 221,547.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.