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Finding the Third Proportional to 97,080 and 205,730

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Solution

The third proportional to 97,080 and 205,730 is: 435,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,080 : 205,730 = 205,730 : x
  2. Step 2: Convert to fraction form
    97,080/205,730 = 205,730/x
  3. Step 3: Cross multiply
    97,080x = 205,730 × 205,730
  4. Step 4: Simplify right side
    97,080x = 42,324,832,900
  5. Step 5: Solve for x
    x = 42,324,832,900/97,080
  6. Step 6: Final answer
    x = 435,978.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.