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Finding the Third Proportional to 59,605 and 130,283

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Solution

The third proportional to 59,605 and 130,283 is: 284,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,605 : 130,283 = 130,283 : x
  2. Step 2: Convert to fraction form
    59,605/130,283 = 130,283/x
  3. Step 3: Cross multiply
    59,605x = 130,283 × 130,283
  4. Step 4: Simplify right side
    59,605x = 16,973,660,089
  5. Step 5: Solve for x
    x = 16,973,660,089/59,605
  6. Step 6: Final answer
    x = 284,769.06

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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.