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Finding the Third Proportional to 66,931 and 107,632.50

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Solution

The third proportional to 66,931 and 107,632.50 is: 173,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,931 : 107,632.50 = 107,632.50 : x
  2. Step 2: Convert to fraction form
    66,931/107,632.50 = 107,632.50/x
  3. Step 3: Cross multiply
    66,931x = 107,632.50 × 107,632.50
  4. Step 4: Simplify right side
    66,931x = 11,584,755,056.25
  5. Step 5: Solve for x
    x = 11,584,755,056.25/66,931
  6. Step 6: Final answer
    x = 173,085.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.