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Finding the Third Proportional to 93,466.50 and 141,315

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Solution

The third proportional to 93,466.50 and 141,315 is: 213,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,466.50 : 141,315 = 141,315 : x
  2. Step 2: Convert to fraction form
    93,466.50/141,315 = 141,315/x
  3. Step 3: Cross multiply
    93,466.50x = 141,315 × 141,315
  4. Step 4: Simplify right side
    93,466.50x = 19,969,929,225
  5. Step 5: Solve for x
    x = 19,969,929,225/93,466.50
  6. Step 6: Final answer
    x = 213,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.