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Finding the Third Proportional to 53,558 and 71,553

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Solution

The third proportional to 53,558 and 71,553 is: 95,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,558 : 71,553 = 71,553 : x
  2. Step 2: Convert to fraction form
    53,558/71,553 = 71,553/x
  3. Step 3: Cross multiply
    53,558x = 71,553 × 71,553
  4. Step 4: Simplify right side
    53,558x = 5,119,831,809
  5. Step 5: Solve for x
    x = 5,119,831,809/53,558
  6. Step 6: Final answer
    x = 95,594.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.