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Finding the Third Proportional to 84,306 and 127,015.50

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Solution

The third proportional to 84,306 and 127,015.50 is: 191,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 127,015.50 = 127,015.50 : x
  2. Step 2: Convert to fraction form
    84,306/127,015.50 = 127,015.50/x
  3. Step 3: Cross multiply
    84,306x = 127,015.50 × 127,015.50
  4. Step 4: Simplify right side
    84,306x = 16,132,937,240.25
  5. Step 5: Solve for x
    x = 16,132,937,240.25/84,306
  6. Step 6: Final answer
    x = 191,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.