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Finding the Third Proportional to 77,952 and 168,513

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Solution

The third proportional to 77,952 and 168,513 is: 364,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952 : 168,513 = 168,513 : x
  2. Step 2: Convert to fraction form
    77,952/168,513 = 168,513/x
  3. Step 3: Cross multiply
    77,952x = 168,513 × 168,513
  4. Step 4: Simplify right side
    77,952x = 28,396,631,169
  5. Step 5: Solve for x
    x = 28,396,631,169/77,952
  6. Step 6: Final answer
    x = 364,283.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.