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Finding the Third Proportional to 102,641 and 157,562

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Solution

The third proportional to 102,641 and 157,562 is: 241,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,641 : 157,562 = 157,562 : x
  2. Step 2: Convert to fraction form
    102,641/157,562 = 157,562/x
  3. Step 3: Cross multiply
    102,641x = 157,562 × 157,562
  4. Step 4: Simplify right side
    102,641x = 24,825,783,844
  5. Step 5: Solve for x
    x = 24,825,783,844/102,641
  6. Step 6: Final answer
    x = 241,870.05

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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.