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Finding the Third Proportional to 53,512 and 84,804

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Solution

The third proportional to 53,512 and 84,804 is: 134,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,512 : 84,804 = 84,804 : x
  2. Step 2: Convert to fraction form
    53,512/84,804 = 84,804/x
  3. Step 3: Cross multiply
    53,512x = 84,804 × 84,804
  4. Step 4: Simplify right side
    53,512x = 7,191,718,416
  5. Step 5: Solve for x
    x = 7,191,718,416/53,512
  6. Step 6: Final answer
    x = 134,394.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.