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Finding the Third Proportional to 53,528 and 81,690

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Solution

The third proportional to 53,528 and 81,690 is: 124,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,528 : 81,690 = 81,690 : x
  2. Step 2: Convert to fraction form
    53,528/81,690 = 81,690/x
  3. Step 3: Cross multiply
    53,528x = 81,690 × 81,690
  4. Step 4: Simplify right side
    53,528x = 6,673,256,100
  5. Step 5: Solve for x
    x = 6,673,256,100/53,528
  6. Step 6: Final answer
    x = 124,668.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.