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Finding the Third Proportional to 85,232 and 127,360

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Solution

The third proportional to 85,232 and 127,360 is: 190,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232 : 127,360 = 127,360 : x
  2. Step 2: Convert to fraction form
    85,232/127,360 = 127,360/x
  3. Step 3: Cross multiply
    85,232x = 127,360 × 127,360
  4. Step 4: Simplify right side
    85,232x = 16,220,569,600
  5. Step 5: Solve for x
    x = 16,220,569,600/85,232
  6. Step 6: Final answer
    x = 190,310.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.