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Finding the Third Proportional to 59,375 and 85,051

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Solution

The third proportional to 59,375 and 85,051 is: 121,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,375 : 85,051 = 85,051 : x
  2. Step 2: Convert to fraction form
    59,375/85,051 = 85,051/x
  3. Step 3: Cross multiply
    59,375x = 85,051 × 85,051
  4. Step 4: Simplify right side
    59,375x = 7,233,672,601
  5. Step 5: Solve for x
    x = 7,233,672,601/59,375
  6. Step 6: Final answer
    x = 121,830.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.