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Finding the Third Proportional to 59,302.88 and 129,549.75

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Solution

The third proportional to 59,302.88 and 129,549.75 is: 283,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302.88 : 129,549.75 = 129,549.75 : x
  2. Step 2: Convert to fraction form
    59,302.88/129,549.75 = 129,549.75/x
  3. Step 3: Cross multiply
    59,302.88x = 129,549.75 × 129,549.75
  4. Step 4: Simplify right side
    59,302.88x = 16,783,137,725.06
  5. Step 5: Solve for x
    x = 16,783,137,725.06/59,302.88
  6. Step 6: Final answer
    x = 283,007.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.