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Finding the Third Proportional to 56,281 and 120,095

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Solution

The third proportional to 56,281 and 120,095 is: 256,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,281 : 120,095 = 120,095 : x
  2. Step 2: Convert to fraction form
    56,281/120,095 = 120,095/x
  3. Step 3: Cross multiply
    56,281x = 120,095 × 120,095
  4. Step 4: Simplify right side
    56,281x = 14,422,809,025
  5. Step 5: Solve for x
    x = 14,422,809,025/56,281
  6. Step 6: Final answer
    x = 256,264.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.