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Finding the Third Proportional to 59,767 and 130,048

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Solution

The third proportional to 59,767 and 130,048 is: 282,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,767 : 130,048 = 130,048 : x
  2. Step 2: Convert to fraction form
    59,767/130,048 = 130,048/x
  3. Step 3: Cross multiply
    59,767x = 130,048 × 130,048
  4. Step 4: Simplify right side
    59,767x = 16,912,482,304
  5. Step 5: Solve for x
    x = 16,912,482,304/59,767
  6. Step 6: Final answer
    x = 282,973.59

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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.