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Finding the Third Proportional to 56,712 and 119,230

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Solution

The third proportional to 56,712 and 119,230 is: 250,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,712 : 119,230 = 119,230 : x
  2. Step 2: Convert to fraction form
    56,712/119,230 = 119,230/x
  3. Step 3: Cross multiply
    56,712x = 119,230 × 119,230
  4. Step 4: Simplify right side
    56,712x = 14,215,792,900
  5. Step 5: Solve for x
    x = 14,215,792,900/56,712
  6. Step 6: Final answer
    x = 250,666.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.