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Finding the Third Proportional to 58,645 and 94,425

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Solution

The third proportional to 58,645 and 94,425 is: 152,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645 : 94,425 = 94,425 : x
  2. Step 2: Convert to fraction form
    58,645/94,425 = 94,425/x
  3. Step 3: Cross multiply
    58,645x = 94,425 × 94,425
  4. Step 4: Simplify right side
    58,645x = 8,916,080,625
  5. Step 5: Solve for x
    x = 8,916,080,625/58,645
  6. Step 6: Final answer
    x = 152,034.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.