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Finding the Third Proportional to 93,315.50 and 141,701

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Solution

The third proportional to 93,315.50 and 141,701 is: 215,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,315.50 : 141,701 = 141,701 : x
  2. Step 2: Convert to fraction form
    93,315.50/141,701 = 141,701/x
  3. Step 3: Cross multiply
    93,315.50x = 141,701 × 141,701
  4. Step 4: Simplify right side
    93,315.50x = 20,079,173,401
  5. Step 5: Solve for x
    x = 20,079,173,401/93,315.50
  6. Step 6: Final answer
    x = 215,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.