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Finding the Third Proportional to 58,742 and 130,564

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Solution

The third proportional to 58,742 and 130,564 is: 290,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742 : 130,564 = 130,564 : x
  2. Step 2: Convert to fraction form
    58,742/130,564 = 130,564/x
  3. Step 3: Cross multiply
    58,742x = 130,564 × 130,564
  4. Step 4: Simplify right side
    58,742x = 17,046,958,096
  5. Step 5: Solve for x
    x = 17,046,958,096/58,742
  6. Step 6: Final answer
    x = 290,200.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.