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Finding the Third Proportional to 52,484 and 82,095

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Solution

The third proportional to 52,484 and 82,095 is: 128,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,484 : 82,095 = 82,095 : x
  2. Step 2: Convert to fraction form
    52,484/82,095 = 82,095/x
  3. Step 3: Cross multiply
    52,484x = 82,095 × 82,095
  4. Step 4: Simplify right side
    52,484x = 6,739,589,025
  5. Step 5: Solve for x
    x = 6,739,589,025/52,484
  6. Step 6: Final answer
    x = 128,412.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.