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Finding the Third Proportional to 84,021 and 130,095

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Solution

The third proportional to 84,021 and 130,095 is: 201,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,021 : 130,095 = 130,095 : x
  2. Step 2: Convert to fraction form
    84,021/130,095 = 130,095/x
  3. Step 3: Cross multiply
    84,021x = 130,095 × 130,095
  4. Step 4: Simplify right side
    84,021x = 16,924,709,025
  5. Step 5: Solve for x
    x = 16,924,709,025/84,021
  6. Step 6: Final answer
    x = 201,434.27

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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.