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Finding the Third Proportional to 109,155.75 and 164,139

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Solution

The third proportional to 109,155.75 and 164,139 is: 246,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,155.75 : 164,139 = 164,139 : x
  2. Step 2: Convert to fraction form
    109,155.75/164,139 = 164,139/x
  3. Step 3: Cross multiply
    109,155.75x = 164,139 × 164,139
  4. Step 4: Simplify right side
    109,155.75x = 26,941,611,321
  5. Step 5: Solve for x
    x = 26,941,611,321/109,155.75
  6. Step 6: Final answer
    x = 246,818.07

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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.