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Finding the Third Proportional to 108,653 and 168,095

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Solution

The third proportional to 108,653 and 168,095 is: 260,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,653 : 168,095 = 168,095 : x
  2. Step 2: Convert to fraction form
    108,653/168,095 = 168,095/x
  3. Step 3: Cross multiply
    108,653x = 168,095 × 168,095
  4. Step 4: Simplify right side
    108,653x = 28,255,929,025
  5. Step 5: Solve for x
    x = 28,255,929,025/108,653
  6. Step 6: Final answer
    x = 260,056.59

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Why These Related Problems?

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