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Finding the Third Proportional to 157,486 and 162,022

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Solution

The third proportional to 157,486 and 162,022 is: 166,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,486 : 162,022 = 162,022 : x
  2. Step 2: Convert to fraction form
    157,486/162,022 = 162,022/x
  3. Step 3: Cross multiply
    157,486x = 162,022 × 162,022
  4. Step 4: Simplify right side
    157,486x = 26,251,128,484
  5. Step 5: Solve for x
    x = 26,251,128,484/157,486
  6. Step 6: Final answer
    x = 166,688.65

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.