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Finding the Third Proportional to 111,969.84 and 169,731.70

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Solution

The third proportional to 111,969.84 and 169,731.70 is: 257,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,969.84 : 169,731.70 = 169,731.70 : x
  2. Step 2: Convert to fraction form
    111,969.84/169,731.70 = 169,731.70/x
  3. Step 3: Cross multiply
    111,969.84x = 169,731.70 × 169,731.70
  4. Step 4: Simplify right side
    111,969.84x = 28,808,851,045.71
  5. Step 5: Solve for x
    x = 28,808,851,045.71/111,969.84
  6. Step 6: Final answer
    x = 257,291.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.