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Finding the Third Proportional to 48,303 and 97,971

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Solution

The third proportional to 48,303 and 97,971 is: 198,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,303 : 97,971 = 97,971 : x
  2. Step 2: Convert to fraction form
    48,303/97,971 = 97,971/x
  3. Step 3: Cross multiply
    48,303x = 97,971 × 97,971
  4. Step 4: Simplify right side
    48,303x = 9,598,316,841
  5. Step 5: Solve for x
    x = 9,598,316,841/48,303
  6. Step 6: Final answer
    x = 198,710.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.