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Finding the Third Proportional to 134,952 and 201,696

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Solution

The third proportional to 134,952 and 201,696 is: 301,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,952 : 201,696 = 201,696 : x
  2. Step 2: Convert to fraction form
    134,952/201,696 = 201,696/x
  3. Step 3: Cross multiply
    134,952x = 201,696 × 201,696
  4. Step 4: Simplify right side
    134,952x = 40,681,276,416
  5. Step 5: Solve for x
    x = 40,681,276,416/134,952
  6. Step 6: Final answer
    x = 301,449.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.