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Finding the Third Proportional to 61,164 and 90,612

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Solution

The third proportional to 61,164 and 90,612 is: 134,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,164 : 90,612 = 90,612 : x
  2. Step 2: Convert to fraction form
    61,164/90,612 = 90,612/x
  3. Step 3: Cross multiply
    61,164x = 90,612 × 90,612
  4. Step 4: Simplify right side
    61,164x = 8,210,534,544
  5. Step 5: Solve for x
    x = 8,210,534,544/61,164
  6. Step 6: Final answer
    x = 134,238.02

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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.