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Finding the Third Proportional to 129,870 and 270,130.50

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Solution

The third proportional to 129,870 and 270,130.50 is: 561,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870 : 270,130.50 = 270,130.50 : x
  2. Step 2: Convert to fraction form
    129,870/270,130.50 = 270,130.50/x
  3. Step 3: Cross multiply
    129,870x = 270,130.50 × 270,130.50
  4. Step 4: Simplify right side
    129,870x = 72,970,487,030.25
  5. Step 5: Solve for x
    x = 72,970,487,030.25/129,870
  6. Step 6: Final answer
    x = 561,873.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.