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Finding the Third Proportional to 73,098 and 109,348

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Solution

The third proportional to 73,098 and 109,348 is: 163,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098 : 109,348 = 109,348 : x
  2. Step 2: Convert to fraction form
    73,098/109,348 = 109,348/x
  3. Step 3: Cross multiply
    73,098x = 109,348 × 109,348
  4. Step 4: Simplify right side
    73,098x = 11,956,985,104
  5. Step 5: Solve for x
    x = 11,956,985,104/73,098
  6. Step 6: Final answer
    x = 163,574.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.