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Finding the Third Proportional to 157,479 and 162,015

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Solution

The third proportional to 157,479 and 162,015 is: 166,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,479 : 162,015 = 162,015 : x
  2. Step 2: Convert to fraction form
    157,479/162,015 = 162,015/x
  3. Step 3: Cross multiply
    157,479x = 162,015 × 162,015
  4. Step 4: Simplify right side
    157,479x = 26,248,860,225
  5. Step 5: Solve for x
    x = 26,248,860,225/157,479
  6. Step 6: Final answer
    x = 166,681.65

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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.