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Finding the Third Proportional to 66,042 and 128,776.50

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Solution

The third proportional to 66,042 and 128,776.50 is: 251,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,042 : 128,776.50 = 128,776.50 : x
  2. Step 2: Convert to fraction form
    66,042/128,776.50 = 128,776.50/x
  3. Step 3: Cross multiply
    66,042x = 128,776.50 × 128,776.50
  4. Step 4: Simplify right side
    66,042x = 16,583,386,952.25
  5. Step 5: Solve for x
    x = 16,583,386,952.25/66,042
  6. Step 6: Final answer
    x = 251,103.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.