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Finding the Third Proportional to 93,433 and 141,121

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Solution

The third proportional to 93,433 and 141,121 is: 213,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,433 : 141,121 = 141,121 : x
  2. Step 2: Convert to fraction form
    93,433/141,121 = 141,121/x
  3. Step 3: Cross multiply
    93,433x = 141,121 × 141,121
  4. Step 4: Simplify right side
    93,433x = 19,915,136,641
  5. Step 5: Solve for x
    x = 19,915,136,641/93,433
  6. Step 6: Final answer
    x = 213,148.85

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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.