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Finding the Third Proportional to 109,113 and 164,076

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Solution

The third proportional to 109,113 and 164,076 is: 246,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,113 : 164,076 = 164,076 : x
  2. Step 2: Convert to fraction form
    109,113/164,076 = 164,076/x
  3. Step 3: Cross multiply
    109,113x = 164,076 × 164,076
  4. Step 4: Simplify right side
    109,113x = 26,920,933,776
  5. Step 5: Solve for x
    x = 26,920,933,776/109,113
  6. Step 6: Final answer
    x = 246,725.26

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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.