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Finding the Third Proportional to 53,501 and 82,797

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Solution

The third proportional to 53,501 and 82,797 is: 128,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,501 : 82,797 = 82,797 : x
  2. Step 2: Convert to fraction form
    53,501/82,797 = 82,797/x
  3. Step 3: Cross multiply
    53,501x = 82,797 × 82,797
  4. Step 4: Simplify right side
    53,501x = 6,855,343,209
  5. Step 5: Solve for x
    x = 6,855,343,209/53,501
  6. Step 6: Final answer
    x = 128,134.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.