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Finding the Third Proportional to 57,465 and 92,272.50

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Solution

The third proportional to 57,465 and 92,272.50 is: 148,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465 : 92,272.50 = 92,272.50 : x
  2. Step 2: Convert to fraction form
    57,465/92,272.50 = 92,272.50/x
  3. Step 3: Cross multiply
    57,465x = 92,272.50 × 92,272.50
  4. Step 4: Simplify right side
    57,465x = 8,514,214,256.25
  5. Step 5: Solve for x
    x = 8,514,214,256.25/57,465
  6. Step 6: Final answer
    x = 148,163.48

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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.