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Finding the Third Proportional to 55,670.63 and 82,461.38

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Solution

The third proportional to 55,670.63 and 82,461.38 is: 122,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670.63 : 82,461.38 = 82,461.38 : x
  2. Step 2: Convert to fraction form
    55,670.63/82,461.38 = 82,461.38/x
  3. Step 3: Cross multiply
    55,670.63x = 82,461.38 × 82,461.38
  4. Step 4: Simplify right side
    55,670.63x = 6,799,878,366.89
  5. Step 5: Solve for x
    x = 6,799,878,366.89/55,670.63
  6. Step 6: Final answer
    x = 122,144.82

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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.