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Finding the Third Proportional to 108,882 and 163,323

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Solution

The third proportional to 108,882 and 163,323 is: 244,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,882 : 163,323 = 163,323 : x
  2. Step 2: Convert to fraction form
    108,882/163,323 = 163,323/x
  3. Step 3: Cross multiply
    108,882x = 163,323 × 163,323
  4. Step 4: Simplify right side
    108,882x = 26,674,402,329
  5. Step 5: Solve for x
    x = 26,674,402,329/108,882
  6. Step 6: Final answer
    x = 244,984.50

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Why These Related Problems?

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