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Finding the Third Proportional to 93,724 and 143,370

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Solution

The third proportional to 93,724 and 143,370 is: 219,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,724 : 143,370 = 143,370 : x
  2. Step 2: Convert to fraction form
    93,724/143,370 = 143,370/x
  3. Step 3: Cross multiply
    93,724x = 143,370 × 143,370
  4. Step 4: Simplify right side
    93,724x = 20,554,956,900
  5. Step 5: Solve for x
    x = 20,554,956,900/93,724
  6. Step 6: Final answer
    x = 219,313.70

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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.