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Finding the Third Proportional to 102,554 and 157,071

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Solution

The third proportional to 102,554 and 157,071 is: 240,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,554 : 157,071 = 157,071 : x
  2. Step 2: Convert to fraction form
    102,554/157,071 = 157,071/x
  3. Step 3: Cross multiply
    102,554x = 157,071 × 157,071
  4. Step 4: Simplify right side
    102,554x = 24,671,299,041
  5. Step 5: Solve for x
    x = 24,671,299,041/102,554
  6. Step 6: Final answer
    x = 240,568.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.