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Finding the Third Proportional to 59,928 and 130,580

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Solution

The third proportional to 59,928 and 130,580 is: 284,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,928 : 130,580 = 130,580 : x
  2. Step 2: Convert to fraction form
    59,928/130,580 = 130,580/x
  3. Step 3: Cross multiply
    59,928x = 130,580 × 130,580
  4. Step 4: Simplify right side
    59,928x = 17,051,136,400
  5. Step 5: Solve for x
    x = 17,051,136,400/59,928
  6. Step 6: Final answer
    x = 284,527.04

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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.