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Finding the Third Proportional to 88,316 and 133,304

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Solution

The third proportional to 88,316 and 133,304 is: 201,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,316 : 133,304 = 133,304 : x
  2. Step 2: Convert to fraction form
    88,316/133,304 = 133,304/x
  3. Step 3: Cross multiply
    88,316x = 133,304 × 133,304
  4. Step 4: Simplify right side
    88,316x = 17,769,956,416
  5. Step 5: Solve for x
    x = 17,769,956,416/88,316
  6. Step 6: Final answer
    x = 201,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.