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Finding the Third Proportional to 67,315 and 145,773

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Solution

The third proportional to 67,315 and 145,773 is: 315,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,315 : 145,773 = 145,773 : x
  2. Step 2: Convert to fraction form
    67,315/145,773 = 145,773/x
  3. Step 3: Cross multiply
    67,315x = 145,773 × 145,773
  4. Step 4: Simplify right side
    67,315x = 21,249,767,529
  5. Step 5: Solve for x
    x = 21,249,767,529/67,315
  6. Step 6: Final answer
    x = 315,676.56

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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.