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Finding the Third Proportional to 85,746 and 183,798

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Solution

The third proportional to 85,746 and 183,798 is: 393,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,746 : 183,798 = 183,798 : x
  2. Step 2: Convert to fraction form
    85,746/183,798 = 183,798/x
  3. Step 3: Cross multiply
    85,746x = 183,798 × 183,798
  4. Step 4: Simplify right side
    85,746x = 33,781,704,804
  5. Step 5: Solve for x
    x = 33,781,704,804/85,746
  6. Step 6: Final answer
    x = 393,974.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.