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Finding the Third Proportional to 92,472 and 205,712

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Solution

The third proportional to 92,472 and 205,712 is: 457,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472 : 205,712 = 205,712 : x
  2. Step 2: Convert to fraction form
    92,472/205,712 = 205,712/x
  3. Step 3: Cross multiply
    92,472x = 205,712 × 205,712
  4. Step 4: Simplify right side
    92,472x = 42,317,426,944
  5. Step 5: Solve for x
    x = 42,317,426,944/92,472
  6. Step 6: Final answer
    x = 457,624.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.