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Finding the Third Proportional to 119,724 and 183,774

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Solution

The third proportional to 119,724 and 183,774 is: 282,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,724 : 183,774 = 183,774 : x
  2. Step 2: Convert to fraction form
    119,724/183,774 = 183,774/x
  3. Step 3: Cross multiply
    119,724x = 183,774 × 183,774
  4. Step 4: Simplify right side
    119,724x = 33,772,883,076
  5. Step 5: Solve for x
    x = 33,772,883,076/119,724
  6. Step 6: Final answer
    x = 282,089.50

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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.