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Finding the Third Proportional to 61,375 and 148,755

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Solution

The third proportional to 61,375 and 148,755 is: 360,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,375 : 148,755 = 148,755 : x
  2. Step 2: Convert to fraction form
    61,375/148,755 = 148,755/x
  3. Step 3: Cross multiply
    61,375x = 148,755 × 148,755
  4. Step 4: Simplify right side
    61,375x = 22,128,050,025
  5. Step 5: Solve for x
    x = 22,128,050,025/61,375
  6. Step 6: Final answer
    x = 360,538.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.