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Finding the Third Proportional to 92,077 and 201,720.50

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Solution

The third proportional to 92,077 and 201,720.50 is: 441,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,077 : 201,720.50 = 201,720.50 : x
  2. Step 2: Convert to fraction form
    92,077/201,720.50 = 201,720.50/x
  3. Step 3: Cross multiply
    92,077x = 201,720.50 × 201,720.50
  4. Step 4: Simplify right side
    92,077x = 40,691,160,120.25
  5. Step 5: Solve for x
    x = 40,691,160,120.25/92,077
  6. Step 6: Final answer
    x = 441,925.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.