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Finding the Third Proportional to 61,336 and 89,984

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Solution

The third proportional to 61,336 and 89,984 is: 132,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,336 : 89,984 = 89,984 : x
  2. Step 2: Convert to fraction form
    61,336/89,984 = 89,984/x
  3. Step 3: Cross multiply
    61,336x = 89,984 × 89,984
  4. Step 4: Simplify right side
    61,336x = 8,097,120,256
  5. Step 5: Solve for x
    x = 8,097,120,256/61,336
  6. Step 6: Final answer
    x = 132,012.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.