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Finding the Third Proportional to 65,038 and 141,865

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Solution

The third proportional to 65,038 and 141,865 is: 309,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038 : 141,865 = 141,865 : x
  2. Step 2: Convert to fraction form
    65,038/141,865 = 141,865/x
  3. Step 3: Cross multiply
    65,038x = 141,865 × 141,865
  4. Step 4: Simplify right side
    65,038x = 20,125,678,225
  5. Step 5: Solve for x
    x = 20,125,678,225/65,038
  6. Step 6: Final answer
    x = 309,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.