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Finding the Third Proportional to 58,420 and 91,524

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Solution

The third proportional to 58,420 and 91,524 is: 143,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,420 : 91,524 = 91,524 : x
  2. Step 2: Convert to fraction form
    58,420/91,524 = 91,524/x
  3. Step 3: Cross multiply
    58,420x = 91,524 × 91,524
  4. Step 4: Simplify right side
    58,420x = 8,376,642,576
  5. Step 5: Solve for x
    x = 8,376,642,576/58,420
  6. Step 6: Final answer
    x = 143,386.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.