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Finding the Third Proportional to 72,754.88 and 109,402.31

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Solution

The third proportional to 72,754.88 and 109,402.31 is: 164,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,754.88 : 109,402.31 = 109,402.31 : x
  2. Step 2: Convert to fraction form
    72,754.88/109,402.31 = 109,402.31/x
  3. Step 3: Cross multiply
    72,754.88x = 109,402.31 × 109,402.31
  4. Step 4: Simplify right side
    72,754.88x = 11,968,865,980.35
  5. Step 5: Solve for x
    x = 11,968,865,980.35/72,754.88
  6. Step 6: Final answer
    x = 164,509.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.