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Finding the Third Proportional to 122,714.16 and 180,030.09

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Solution

The third proportional to 122,714.16 and 180,030.09 is: 264,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,714.16 : 180,030.09 = 180,030.09 : x
  2. Step 2: Convert to fraction form
    122,714.16/180,030.09 = 180,030.09/x
  3. Step 3: Cross multiply
    122,714.16x = 180,030.09 × 180,030.09
  4. Step 4: Simplify right side
    122,714.16x = 32,410,834,655.63
  5. Step 5: Solve for x
    x = 32,410,834,655.63/122,714.16
  6. Step 6: Final answer
    x = 264,116.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.