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Finding the Third Proportional to 82,038 and 179,261

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Solution

The third proportional to 82,038 and 179,261 is: 391,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038 : 179,261 = 179,261 : x
  2. Step 2: Convert to fraction form
    82,038/179,261 = 179,261/x
  3. Step 3: Cross multiply
    82,038x = 179,261 × 179,261
  4. Step 4: Simplify right side
    82,038x = 32,134,506,121
  5. Step 5: Solve for x
    x = 32,134,506,121/82,038
  6. Step 6: Final answer
    x = 391,702.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.