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Finding the Third Proportional to 58,948 and 128,156

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Solution

The third proportional to 58,948 and 128,156 is: 278,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,948 : 128,156 = 128,156 : x
  2. Step 2: Convert to fraction form
    58,948/128,156 = 128,156/x
  3. Step 3: Cross multiply
    58,948x = 128,156 × 128,156
  4. Step 4: Simplify right side
    58,948x = 16,423,960,336
  5. Step 5: Solve for x
    x = 16,423,960,336/58,948
  6. Step 6: Final answer
    x = 278,617.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.