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Finding the Third Proportional to 76,360 and 112,250

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Solution

The third proportional to 76,360 and 112,250 is: 165,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 112,250 = 112,250 : x
  2. Step 2: Convert to fraction form
    76,360/112,250 = 112,250/x
  3. Step 3: Cross multiply
    76,360x = 112,250 × 112,250
  4. Step 4: Simplify right side
    76,360x = 12,600,062,500
  5. Step 5: Solve for x
    x = 12,600,062,500/76,360
  6. Step 6: Final answer
    x = 165,008.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.