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Finding the Third Proportional to 102,003 and 157,554

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Solution

The third proportional to 102,003 and 157,554 is: 243,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003 : 157,554 = 157,554 : x
  2. Step 2: Convert to fraction form
    102,003/157,554 = 157,554/x
  3. Step 3: Cross multiply
    102,003x = 157,554 × 157,554
  4. Step 4: Simplify right side
    102,003x = 24,823,262,916
  5. Step 5: Solve for x
    x = 24,823,262,916/102,003
  6. Step 6: Final answer
    x = 243,358.17

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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.