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Finding the Third Proportional to 59,095 and 129,723

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Solution

The third proportional to 59,095 and 129,723 is: 284,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095 : 129,723 = 129,723 : x
  2. Step 2: Convert to fraction form
    59,095/129,723 = 129,723/x
  3. Step 3: Cross multiply
    59,095x = 129,723 × 129,723
  4. Step 4: Simplify right side
    59,095x = 16,828,056,729
  5. Step 5: Solve for x
    x = 16,828,056,729/59,095
  6. Step 6: Final answer
    x = 284,762.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.