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Finding the Third Proportional to 89,256.94 and 138,510

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Solution

The third proportional to 89,256.94 and 138,510 is: 214,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,256.94 : 138,510 = 138,510 : x
  2. Step 2: Convert to fraction form
    89,256.94/138,510 = 138,510/x
  3. Step 3: Cross multiply
    89,256.94x = 138,510 × 138,510
  4. Step 4: Simplify right side
    89,256.94x = 19,185,020,100
  5. Step 5: Solve for x
    x = 19,185,020,100/89,256.94
  6. Step 6: Final answer
    x = 214,941.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.