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Finding the Third Proportional to 93,349 and 141,971

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Solution

The third proportional to 93,349 and 141,971 is: 215,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,349 : 141,971 = 141,971 : x
  2. Step 2: Convert to fraction form
    93,349/141,971 = 141,971/x
  3. Step 3: Cross multiply
    93,349x = 141,971 × 141,971
  4. Step 4: Simplify right side
    93,349x = 20,155,764,841
  5. Step 5: Solve for x
    x = 20,155,764,841/93,349
  6. Step 6: Final answer
    x = 215,918.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.