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Finding the Third Proportional to 93,390 and 142,823

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Solution

The third proportional to 93,390 and 142,823 is: 218,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,390 : 142,823 = 142,823 : x
  2. Step 2: Convert to fraction form
    93,390/142,823 = 142,823/x
  3. Step 3: Cross multiply
    93,390x = 142,823 × 142,823
  4. Step 4: Simplify right side
    93,390x = 20,398,409,329
  5. Step 5: Solve for x
    x = 20,398,409,329/93,390
  6. Step 6: Final answer
    x = 218,421.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.