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Finding the Third Proportional to 127,994 and 180,164

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Solution

The third proportional to 127,994 and 180,164 is: 253,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,994 : 180,164 = 180,164 : x
  2. Step 2: Convert to fraction form
    127,994/180,164 = 180,164/x
  3. Step 3: Cross multiply
    127,994x = 180,164 × 180,164
  4. Step 4: Simplify right side
    127,994x = 32,459,066,896
  5. Step 5: Solve for x
    x = 32,459,066,896/127,994
  6. Step 6: Final answer
    x = 253,598.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.