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Finding the Third Proportional to 59,352 and 90,525

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Solution

The third proportional to 59,352 and 90,525 is: 138,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,352 : 90,525 = 90,525 : x
  2. Step 2: Convert to fraction form
    59,352/90,525 = 90,525/x
  3. Step 3: Cross multiply
    59,352x = 90,525 × 90,525
  4. Step 4: Simplify right side
    59,352x = 8,194,775,625
  5. Step 5: Solve for x
    x = 8,194,775,625/59,352
  6. Step 6: Final answer
    x = 138,070.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.