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Finding the Third Proportional to 157,478 and 162,014

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Solution

The third proportional to 157,478 and 162,014 is: 166,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,478 : 162,014 = 162,014 : x
  2. Step 2: Convert to fraction form
    157,478/162,014 = 162,014/x
  3. Step 3: Cross multiply
    157,478x = 162,014 × 162,014
  4. Step 4: Simplify right side
    157,478x = 26,248,536,196
  5. Step 5: Solve for x
    x = 26,248,536,196/157,478
  6. Step 6: Final answer
    x = 166,680.66

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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.