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Finding the Third Proportional to 61,176 and 90,627

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Solution

The third proportional to 61,176 and 90,627 is: 134,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176 : 90,627 = 90,627 : x
  2. Step 2: Convert to fraction form
    61,176/90,627 = 90,627/x
  3. Step 3: Cross multiply
    61,176x = 90,627 × 90,627
  4. Step 4: Simplify right side
    61,176x = 8,213,253,129
  5. Step 5: Solve for x
    x = 8,213,253,129/61,176
  6. Step 6: Final answer
    x = 134,256.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.