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Finding the Third Proportional to 61,040 and 129,964

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Solution

The third proportional to 61,040 and 129,964 is: 276,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,040 : 129,964 = 129,964 : x
  2. Step 2: Convert to fraction form
    61,040/129,964 = 129,964/x
  3. Step 3: Cross multiply
    61,040x = 129,964 × 129,964
  4. Step 4: Simplify right side
    61,040x = 16,890,641,296
  5. Step 5: Solve for x
    x = 16,890,641,296/61,040
  6. Step 6: Final answer
    x = 276,714.31

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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.