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Finding the Third Proportional to 59,419 and 92,773

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Solution

The third proportional to 59,419 and 92,773 is: 144,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,419 : 92,773 = 92,773 : x
  2. Step 2: Convert to fraction form
    59,419/92,773 = 92,773/x
  3. Step 3: Cross multiply
    59,419x = 92,773 × 92,773
  4. Step 4: Simplify right side
    59,419x = 8,606,829,529
  5. Step 5: Solve for x
    x = 8,606,829,529/59,419
  6. Step 6: Final answer
    x = 144,849.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.