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Finding the Third Proportional to 114,520 and 168,359

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Solution

The third proportional to 114,520 and 168,359 is: 247,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,520 : 168,359 = 168,359 : x
  2. Step 2: Convert to fraction form
    114,520/168,359 = 168,359/x
  3. Step 3: Cross multiply
    114,520x = 168,359 × 168,359
  4. Step 4: Simplify right side
    114,520x = 28,344,752,881
  5. Step 5: Solve for x
    x = 28,344,752,881/114,520
  6. Step 6: Final answer
    x = 247,509.19

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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.