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Finding the Third Proportional to 32,088 and 77,304

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Solution

The third proportional to 32,088 and 77,304 is: 186,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088 : 77,304 = 77,304 : x
  2. Step 2: Convert to fraction form
    32,088/77,304 = 77,304/x
  3. Step 3: Cross multiply
    32,088x = 77,304 × 77,304
  4. Step 4: Simplify right side
    32,088x = 5,975,908,416
  5. Step 5: Solve for x
    x = 5,975,908,416/32,088
  6. Step 6: Final answer
    x = 186,234.99

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.