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Finding the Third Proportional to 61,164 and 133,984

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Solution

The third proportional to 61,164 and 133,984 is: 293,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,164 : 133,984 = 133,984 : x
  2. Step 2: Convert to fraction form
    61,164/133,984 = 133,984/x
  3. Step 3: Cross multiply
    61,164x = 133,984 × 133,984
  4. Step 4: Simplify right side
    61,164x = 17,951,712,256
  5. Step 5: Solve for x
    x = 17,951,712,256/61,164
  6. Step 6: Final answer
    x = 293,501.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.