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Finding the Third Proportional to 114,548 and 168,386

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Solution

The third proportional to 114,548 and 168,386 is: 247,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548 : 168,386 = 168,386 : x
  2. Step 2: Convert to fraction form
    114,548/168,386 = 168,386/x
  3. Step 3: Cross multiply
    114,548x = 168,386 × 168,386
  4. Step 4: Simplify right side
    114,548x = 28,353,844,996
  5. Step 5: Solve for x
    x = 28,353,844,996/114,548
  6. Step 6: Final answer
    x = 247,528.07

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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.