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Finding the Third Proportional to 59,701 and 130,475

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Solution

The third proportional to 59,701 and 130,475 is: 285,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,701 : 130,475 = 130,475 : x
  2. Step 2: Convert to fraction form
    59,701/130,475 = 130,475/x
  3. Step 3: Cross multiply
    59,701x = 130,475 × 130,475
  4. Step 4: Simplify right side
    59,701x = 17,023,725,625
  5. Step 5: Solve for x
    x = 17,023,725,625/59,701
  6. Step 6: Final answer
    x = 285,149.76

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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.