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Finding the Third Proportional to 60,582 and 91,963

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Solution

The third proportional to 60,582 and 91,963 is: 139,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,582 : 91,963 = 91,963 : x
  2. Step 2: Convert to fraction form
    60,582/91,963 = 91,963/x
  3. Step 3: Cross multiply
    60,582x = 91,963 × 91,963
  4. Step 4: Simplify right side
    60,582x = 8,457,193,369
  5. Step 5: Solve for x
    x = 8,457,193,369/60,582
  6. Step 6: Final answer
    x = 139,599.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.