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Finding the Third Proportional to 53,132 and 78,483

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Solution

The third proportional to 53,132 and 78,483 is: 115,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,132 : 78,483 = 78,483 : x
  2. Step 2: Convert to fraction form
    53,132/78,483 = 78,483/x
  3. Step 3: Cross multiply
    53,132x = 78,483 × 78,483
  4. Step 4: Simplify right side
    53,132x = 6,159,581,289
  5. Step 5: Solve for x
    x = 6,159,581,289/53,132
  6. Step 6: Final answer
    x = 115,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.