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Finding the Third Proportional to 85,460.06 and 176,387.63

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Solution

The third proportional to 85,460.06 and 176,387.63 is: 364,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,460.06 : 176,387.63 = 176,387.63 : x
  2. Step 2: Convert to fraction form
    85,460.06/176,387.63 = 176,387.63/x
  3. Step 3: Cross multiply
    85,460.06x = 176,387.63 × 176,387.63
  4. Step 4: Simplify right side
    85,460.06x = 31,112,594,253.14
  5. Step 5: Solve for x
    x = 31,112,594,253.14/85,460.06
  6. Step 6: Final answer
    x = 364,060.05

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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.