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Finding the Third Proportional to 74,000 and 115,960

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Solution

The third proportional to 74,000 and 115,960 is: 181,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000 : 115,960 = 115,960 : x
  2. Step 2: Convert to fraction form
    74,000/115,960 = 115,960/x
  3. Step 3: Cross multiply
    74,000x = 115,960 × 115,960
  4. Step 4: Simplify right side
    74,000x = 13,446,721,600
  5. Step 5: Solve for x
    x = 13,446,721,600/74,000
  6. Step 6: Final answer
    x = 181,712.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.