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Finding the Third Proportional to 102,710 and 157,803

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Solution

The third proportional to 102,710 and 157,803 is: 242,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710 : 157,803 = 157,803 : x
  2. Step 2: Convert to fraction form
    102,710/157,803 = 157,803/x
  3. Step 3: Cross multiply
    102,710x = 157,803 × 157,803
  4. Step 4: Simplify right side
    102,710x = 24,901,786,809
  5. Step 5: Solve for x
    x = 24,901,786,809/102,710
  6. Step 6: Final answer
    x = 242,447.54

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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.