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Finding the Third Proportional to 72,492 and 108,735

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Solution

The third proportional to 72,492 and 108,735 is: 163,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,492 : 108,735 = 108,735 : x
  2. Step 2: Convert to fraction form
    72,492/108,735 = 108,735/x
  3. Step 3: Cross multiply
    72,492x = 108,735 × 108,735
  4. Step 4: Simplify right side
    72,492x = 11,823,300,225
  5. Step 5: Solve for x
    x = 11,823,300,225/72,492
  6. Step 6: Final answer
    x = 163,098.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.