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Finding the Third Proportional to 52,572 and 121,582

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Solution

The third proportional to 52,572 and 121,582 is: 281,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572 : 121,582 = 121,582 : x
  2. Step 2: Convert to fraction form
    52,572/121,582 = 121,582/x
  3. Step 3: Cross multiply
    52,572x = 121,582 × 121,582
  4. Step 4: Simplify right side
    52,572x = 14,782,182,724
  5. Step 5: Solve for x
    x = 14,782,182,724/52,572
  6. Step 6: Final answer
    x = 281,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.