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Finding the Third Proportional to 86,983 and 127,360

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Solution

The third proportional to 86,983 and 127,360 is: 186,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983 : 127,360 = 127,360 : x
  2. Step 2: Convert to fraction form
    86,983/127,360 = 127,360/x
  3. Step 3: Cross multiply
    86,983x = 127,360 × 127,360
  4. Step 4: Simplify right side
    86,983x = 16,220,569,600
  5. Step 5: Solve for x
    x = 16,220,569,600/86,983
  6. Step 6: Final answer
    x = 186,479.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.