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Finding the Third Proportional to 66,271.75 and 102,387.50

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Solution

The third proportional to 66,271.75 and 102,387.50 is: 158,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,271.75 : 102,387.50 = 102,387.50 : x
  2. Step 2: Convert to fraction form
    66,271.75/102,387.50 = 102,387.50/x
  3. Step 3: Cross multiply
    66,271.75x = 102,387.50 × 102,387.50
  4. Step 4: Simplify right side
    66,271.75x = 10,483,200,156.25
  5. Step 5: Solve for x
    x = 10,483,200,156.25/66,271.75
  6. Step 6: Final answer
    x = 158,185.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.