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Finding the Third Proportional to 45,925 and 67,312

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Solution

The third proportional to 45,925 and 67,312 is: 98,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,925 : 67,312 = 67,312 : x
  2. Step 2: Convert to fraction form
    45,925/67,312 = 67,312/x
  3. Step 3: Cross multiply
    45,925x = 67,312 × 67,312
  4. Step 4: Simplify right side
    45,925x = 4,530,905,344
  5. Step 5: Solve for x
    x = 4,530,905,344/45,925
  6. Step 6: Final answer
    x = 98,658.80

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Why These Related Problems?

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