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Finding the Third Proportional to 85,304 and 176,072

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Solution

The third proportional to 85,304 and 176,072 is: 363,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,304 : 176,072 = 176,072 : x
  2. Step 2: Convert to fraction form
    85,304/176,072 = 176,072/x
  3. Step 3: Cross multiply
    85,304x = 176,072 × 176,072
  4. Step 4: Simplify right side
    85,304x = 31,001,349,184
  5. Step 5: Solve for x
    x = 31,001,349,184/85,304
  6. Step 6: Final answer
    x = 363,421.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.