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Finding the Third Proportional to 59,604 and 130,282

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Solution

The third proportional to 59,604 and 130,282 is: 284,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,604 : 130,282 = 130,282 : x
  2. Step 2: Convert to fraction form
    59,604/130,282 = 130,282/x
  3. Step 3: Cross multiply
    59,604x = 130,282 × 130,282
  4. Step 4: Simplify right side
    59,604x = 16,973,399,524
  5. Step 5: Solve for x
    x = 16,973,399,524/59,604
  6. Step 6: Final answer
    x = 284,769.47

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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.