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Finding the Third Proportional to 61,428 and 133,971

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Solution

The third proportional to 61,428 and 133,971 is: 292,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428 : 133,971 = 133,971 : x
  2. Step 2: Convert to fraction form
    61,428/133,971 = 133,971/x
  3. Step 3: Cross multiply
    61,428x = 133,971 × 133,971
  4. Step 4: Simplify right side
    61,428x = 17,948,228,841
  5. Step 5: Solve for x
    x = 17,948,228,841/61,428
  6. Step 6: Final answer
    x = 292,183.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.