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Finding the Third Proportional to 114,495 and 168,426

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Solution

The third proportional to 114,495 and 168,426 is: 247,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,495 : 168,426 = 168,426 : x
  2. Step 2: Convert to fraction form
    114,495/168,426 = 168,426/x
  3. Step 3: Cross multiply
    114,495x = 168,426 × 168,426
  4. Step 4: Simplify right side
    114,495x = 28,367,317,476
  5. Step 5: Solve for x
    x = 28,367,317,476/114,495
  6. Step 6: Final answer
    x = 247,760.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.