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Finding the Third Proportional to 107,752 and 235,084

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Solution

The third proportional to 107,752 and 235,084 is: 512,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752 : 235,084 = 235,084 : x
  2. Step 2: Convert to fraction form
    107,752/235,084 = 235,084/x
  3. Step 3: Cross multiply
    107,752x = 235,084 × 235,084
  4. Step 4: Simplify right side
    107,752x = 55,264,487,056
  5. Step 5: Solve for x
    x = 55,264,487,056/107,752
  6. Step 6: Final answer
    x = 512,885.95

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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.