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Finding the Third Proportional to 76,896 and 115,776

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Solution

The third proportional to 76,896 and 115,776 is: 174,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896 : 115,776 = 115,776 : x
  2. Step 2: Convert to fraction form
    76,896/115,776 = 115,776/x
  3. Step 3: Cross multiply
    76,896x = 115,776 × 115,776
  4. Step 4: Simplify right side
    76,896x = 13,404,082,176
  5. Step 5: Solve for x
    x = 13,404,082,176/76,896
  6. Step 6: Final answer
    x = 174,314.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.