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Finding the Third Proportional to 67,256 and 144,776

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Solution

The third proportional to 67,256 and 144,776 is: 311,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,256 : 144,776 = 144,776 : x
  2. Step 2: Convert to fraction form
    67,256/144,776 = 144,776/x
  3. Step 3: Cross multiply
    67,256x = 144,776 × 144,776
  4. Step 4: Simplify right side
    67,256x = 20,960,090,176
  5. Step 5: Solve for x
    x = 20,960,090,176/67,256
  6. Step 6: Final answer
    x = 311,646.40

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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.