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Finding the Third Proportional to 157,484 and 162,020

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Solution

The third proportional to 157,484 and 162,020 is: 166,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,484 : 162,020 = 162,020 : x
  2. Step 2: Convert to fraction form
    157,484/162,020 = 162,020/x
  3. Step 3: Cross multiply
    157,484x = 162,020 × 162,020
  4. Step 4: Simplify right side
    157,484x = 26,250,480,400
  5. Step 5: Solve for x
    x = 26,250,480,400/157,484
  6. Step 6: Final answer
    x = 166,686.65

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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.