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Finding the Third Proportional to 109,534 and 164,786

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Solution

The third proportional to 109,534 and 164,786 is: 247,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534 : 164,786 = 164,786 : x
  2. Step 2: Convert to fraction form
    109,534/164,786 = 164,786/x
  3. Step 3: Cross multiply
    109,534x = 164,786 × 164,786
  4. Step 4: Simplify right side
    109,534x = 27,154,425,796
  5. Step 5: Solve for x
    x = 27,154,425,796/109,534
  6. Step 6: Final answer
    x = 247,908.65

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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.