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Finding the Third Proportional to 124,934 and 197,658

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Solution

The third proportional to 124,934 and 197,658 is: 312,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,934 : 197,658 = 197,658 : x
  2. Step 2: Convert to fraction form
    124,934/197,658 = 197,658/x
  3. Step 3: Cross multiply
    124,934x = 197,658 × 197,658
  4. Step 4: Simplify right side
    124,934x = 39,068,684,964
  5. Step 5: Solve for x
    x = 39,068,684,964/124,934
  6. Step 6: Final answer
    x = 312,714.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.