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Finding the Third Proportional to 93,894 and 129,129

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Solution

The third proportional to 93,894 and 129,129 is: 177,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,894 : 129,129 = 129,129 : x
  2. Step 2: Convert to fraction form
    93,894/129,129 = 129,129/x
  3. Step 3: Cross multiply
    93,894x = 129,129 × 129,129
  4. Step 4: Simplify right side
    93,894x = 16,674,298,641
  5. Step 5: Solve for x
    x = 16,674,298,641/93,894
  6. Step 6: Final answer
    x = 177,586.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.