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Finding the Third Proportional to 65,016.53 and 102,017.46

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Solution

The third proportional to 65,016.53 and 102,017.46 is: 160,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016.53 : 102,017.46 = 102,017.46 : x
  2. Step 2: Convert to fraction form
    65,016.53/102,017.46 = 102,017.46/x
  3. Step 3: Cross multiply
    65,016.53x = 102,017.46 × 102,017.46
  4. Step 4: Simplify right side
    65,016.53x = 10,407,562,784.45
  5. Step 5: Solve for x
    x = 10,407,562,784.45/65,016.53
  6. Step 6: Final answer
    x = 160,075.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.