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Finding the Third Proportional to 109,844 and 176,862

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Solution

The third proportional to 109,844 and 176,862 is: 284,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,844 : 176,862 = 176,862 : x
  2. Step 2: Convert to fraction form
    109,844/176,862 = 176,862/x
  3. Step 3: Cross multiply
    109,844x = 176,862 × 176,862
  4. Step 4: Simplify right side
    109,844x = 31,280,167,044
  5. Step 5: Solve for x
    x = 31,280,167,044/109,844
  6. Step 6: Final answer
    x = 284,769.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.