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Finding the Third Proportional to 108,300 and 169,929

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Solution

The third proportional to 108,300 and 169,929 is: 266,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,300 : 169,929 = 169,929 : x
  2. Step 2: Convert to fraction form
    108,300/169,929 = 169,929/x
  3. Step 3: Cross multiply
    108,300x = 169,929 × 169,929
  4. Step 4: Simplify right side
    108,300x = 28,875,865,041
  5. Step 5: Solve for x
    x = 28,875,865,041/108,300
  6. Step 6: Final answer
    x = 266,628.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.