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Finding the Third Proportional to 122,607 and 164,764.13

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Solution

The third proportional to 122,607 and 164,764.13 is: 221,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,607 : 164,764.13 = 164,764.13 : x
  2. Step 2: Convert to fraction form
    122,607/164,764.13 = 164,764.13/x
  3. Step 3: Cross multiply
    122,607x = 164,764.13 × 164,764.13
  4. Step 4: Simplify right side
    122,607x = 27,147,216,887.02
  5. Step 5: Solve for x
    x = 27,147,216,887.02/122,607
  6. Step 6: Final answer
    x = 221,416.53

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.