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Finding the Third Proportional to 59,076 and 129,634

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Solution

The third proportional to 59,076 and 129,634 is: 284,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076 : 129,634 = 129,634 : x
  2. Step 2: Convert to fraction form
    59,076/129,634 = 129,634/x
  3. Step 3: Cross multiply
    59,076x = 129,634 × 129,634
  4. Step 4: Simplify right side
    59,076x = 16,804,973,956
  5. Step 5: Solve for x
    x = 16,804,973,956/59,076
  6. Step 6: Final answer
    x = 284,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.