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Finding the Third Proportional to 64,316 and 133,482

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Solution

The third proportional to 64,316 and 133,482 is: 277,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,316 : 133,482 = 133,482 : x
  2. Step 2: Convert to fraction form
    64,316/133,482 = 133,482/x
  3. Step 3: Cross multiply
    64,316x = 133,482 × 133,482
  4. Step 4: Simplify right side
    64,316x = 17,817,444,324
  5. Step 5: Solve for x
    x = 17,817,444,324/64,316
  6. Step 6: Final answer
    x = 277,029.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.