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Finding the Third Proportional to 76,114.88 and 115,967.63

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Solution

The third proportional to 76,114.88 and 115,967.63 is: 176,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.88 : 115,967.63 = 115,967.63 : x
  2. Step 2: Convert to fraction form
    76,114.88/115,967.63 = 115,967.63/x
  3. Step 3: Cross multiply
    76,114.88x = 115,967.63 × 115,967.63
  4. Step 4: Simplify right side
    76,114.88x = 13,448,490,048.14
  5. Step 5: Solve for x
    x = 13,448,490,048.14/76,114.88
  6. Step 6: Final answer
    x = 176,686.75

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