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Finding the Third Proportional to 84,521 and 127,119

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Solution

The third proportional to 84,521 and 127,119 is: 191,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,521 : 127,119 = 127,119 : x
  2. Step 2: Convert to fraction form
    84,521/127,119 = 127,119/x
  3. Step 3: Cross multiply
    84,521x = 127,119 × 127,119
  4. Step 4: Simplify right side
    84,521x = 16,159,240,161
  5. Step 5: Solve for x
    x = 16,159,240,161/84,521
  6. Step 6: Final answer
    x = 191,186.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.