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Finding the Third Proportional to 108,386 and 144,974

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Solution

The third proportional to 108,386 and 144,974 is: 193,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,386 : 144,974 = 144,974 : x
  2. Step 2: Convert to fraction form
    108,386/144,974 = 144,974/x
  3. Step 3: Cross multiply
    108,386x = 144,974 × 144,974
  4. Step 4: Simplify right side
    108,386x = 21,017,460,676
  5. Step 5: Solve for x
    x = 21,017,460,676/108,386
  6. Step 6: Final answer
    x = 193,913.06

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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.