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Finding the Third Proportional to 39,465 and 84,546

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Solution

The third proportional to 39,465 and 84,546 is: 181,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,465 : 84,546 = 84,546 : x
  2. Step 2: Convert to fraction form
    39,465/84,546 = 84,546/x
  3. Step 3: Cross multiply
    39,465x = 84,546 × 84,546
  4. Step 4: Simplify right side
    39,465x = 7,148,026,116
  5. Step 5: Solve for x
    x = 7,148,026,116/39,465
  6. Step 6: Final answer
    x = 181,123.18

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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.