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Finding the Third Proportional to 52,627 and 115,095

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Solution

The third proportional to 52,627 and 115,095 is: 251,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,627 : 115,095 = 115,095 : x
  2. Step 2: Convert to fraction form
    52,627/115,095 = 115,095/x
  3. Step 3: Cross multiply
    52,627x = 115,095 × 115,095
  4. Step 4: Simplify right side
    52,627x = 13,246,859,025
  5. Step 5: Solve for x
    x = 13,246,859,025/52,627
  6. Step 6: Final answer
    x = 251,712.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.