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Finding the Third Proportional to 65,966.63 and 102,208.50

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Solution

The third proportional to 65,966.63 and 102,208.50 is: 158,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,966.63 : 102,208.50 = 102,208.50 : x
  2. Step 2: Convert to fraction form
    65,966.63/102,208.50 = 102,208.50/x
  3. Step 3: Cross multiply
    65,966.63x = 102,208.50 × 102,208.50
  4. Step 4: Simplify right side
    65,966.63x = 10,446,577,472.25
  5. Step 5: Solve for x
    x = 10,446,577,472.25/65,966.63
  6. Step 6: Final answer
    x = 158,361.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.