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Finding the Third Proportional to 103,582 and 159,954

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Solution

The third proportional to 103,582 and 159,954 is: 247,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,582 : 159,954 = 159,954 : x
  2. Step 2: Convert to fraction form
    103,582/159,954 = 159,954/x
  3. Step 3: Cross multiply
    103,582x = 159,954 × 159,954
  4. Step 4: Simplify right side
    103,582x = 25,585,282,116
  5. Step 5: Solve for x
    x = 25,585,282,116/103,582
  6. Step 6: Final answer
    x = 247,005.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.