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Finding the Third Proportional to 102,112 and 157,712

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Solution

The third proportional to 102,112 and 157,712 is: 243,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,112 : 157,712 = 157,712 : x
  2. Step 2: Convert to fraction form
    102,112/157,712 = 157,712/x
  3. Step 3: Cross multiply
    102,112x = 157,712 × 157,712
  4. Step 4: Simplify right side
    102,112x = 24,873,074,944
  5. Step 5: Solve for x
    x = 24,873,074,944/102,112
  6. Step 6: Final answer
    x = 243,586.21

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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.