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Finding the Third Proportional to 107,730 and 229,080

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Solution

The third proportional to 107,730 and 229,080 is: 487,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730 : 229,080 = 229,080 : x
  2. Step 2: Convert to fraction form
    107,730/229,080 = 229,080/x
  3. Step 3: Cross multiply
    107,730x = 229,080 × 229,080
  4. Step 4: Simplify right side
    107,730x = 52,477,646,400
  5. Step 5: Solve for x
    x = 52,477,646,400/107,730
  6. Step 6: Final answer
    x = 487,121.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.