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Finding the Third Proportional to 61,072.31 and 89,420.63

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Solution

The third proportional to 61,072.31 and 89,420.63 is: 130,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072.31 : 89,420.63 = 89,420.63 : x
  2. Step 2: Convert to fraction form
    61,072.31/89,420.63 = 89,420.63/x
  3. Step 3: Cross multiply
    61,072.31x = 89,420.63 × 89,420.63
  4. Step 4: Simplify right side
    61,072.31x = 7,996,048,175.39
  5. Step 5: Solve for x
    x = 7,996,048,175.39/61,072.31
  6. Step 6: Final answer
    x = 130,927.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.