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Finding the Third Proportional to 107,895 and 235,095

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Solution

The third proportional to 107,895 and 235,095 is: 512,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895 : 235,095 = 235,095 : x
  2. Step 2: Convert to fraction form
    107,895/235,095 = 235,095/x
  3. Step 3: Cross multiply
    107,895x = 235,095 × 235,095
  4. Step 4: Simplify right side
    107,895x = 55,269,659,025
  5. Step 5: Solve for x
    x = 55,269,659,025/107,895
  6. Step 6: Final answer
    x = 512,254.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.