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Finding the Third Proportional to 108,960 and 163,435

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Solution

The third proportional to 108,960 and 163,435 is: 245,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,960 : 163,435 = 163,435 : x
  2. Step 2: Convert to fraction form
    108,960/163,435 = 163,435/x
  3. Step 3: Cross multiply
    108,960x = 163,435 × 163,435
  4. Step 4: Simplify right side
    108,960x = 26,710,999,225
  5. Step 5: Solve for x
    x = 26,710,999,225/108,960
  6. Step 6: Final answer
    x = 245,145.00

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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.