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Finding the Third Proportional to 97,213 and 139,015

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Solution

The third proportional to 97,213 and 139,015 is: 198,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213 : 139,015 = 139,015 : x
  2. Step 2: Convert to fraction form
    97,213/139,015 = 139,015/x
  3. Step 3: Cross multiply
    97,213x = 139,015 × 139,015
  4. Step 4: Simplify right side
    97,213x = 19,325,170,225
  5. Step 5: Solve for x
    x = 19,325,170,225/97,213
  6. Step 6: Final answer
    x = 198,792.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.