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Finding the Third Proportional to 109,572.75 and 235,497.38

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Solution

The third proportional to 109,572.75 and 235,497.38 is: 506,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,572.75 : 235,497.38 = 235,497.38 : x
  2. Step 2: Convert to fraction form
    109,572.75/235,497.38 = 235,497.38/x
  3. Step 3: Cross multiply
    109,572.75x = 235,497.38 × 235,497.38
  4. Step 4: Simplify right side
    109,572.75x = 55,459,013,631.89
  5. Step 5: Solve for x
    x = 55,459,013,631.89/109,572.75
  6. Step 6: Final answer
    x = 506,138.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.