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Finding the Third Proportional to 53,528 and 116,589

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Solution

The third proportional to 53,528 and 116,589 is: 253,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,528 : 116,589 = 116,589 : x
  2. Step 2: Convert to fraction form
    53,528/116,589 = 116,589/x
  3. Step 3: Cross multiply
    53,528x = 116,589 × 116,589
  4. Step 4: Simplify right side
    53,528x = 13,592,994,921
  5. Step 5: Solve for x
    x = 13,592,994,921/53,528
  6. Step 6: Final answer
    x = 253,941.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.