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Finding the Third Proportional to 57,495 and 92,317.50

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Solution

The third proportional to 57,495 and 92,317.50 is: 148,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,495 : 92,317.50 = 92,317.50 : x
  2. Step 2: Convert to fraction form
    57,495/92,317.50 = 92,317.50/x
  3. Step 3: Cross multiply
    57,495x = 92,317.50 × 92,317.50
  4. Step 4: Simplify right side
    57,495x = 8,522,520,806.25
  5. Step 5: Solve for x
    x = 8,522,520,806.25/57,495
  6. Step 6: Final answer
    x = 148,230.64

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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.