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Finding the Third Proportional to 58,472 and 82,740

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Solution

The third proportional to 58,472 and 82,740 is: 117,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,472 : 82,740 = 82,740 : x
  2. Step 2: Convert to fraction form
    58,472/82,740 = 82,740/x
  3. Step 3: Cross multiply
    58,472x = 82,740 × 82,740
  4. Step 4: Simplify right side
    58,472x = 6,845,907,600
  5. Step 5: Solve for x
    x = 6,845,907,600/58,472
  6. Step 6: Final answer
    x = 117,080.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.