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Finding the Third Proportional to 85,537 and 176,528

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Solution

The third proportional to 85,537 and 176,528 is: 364,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,537 : 176,528 = 176,528 : x
  2. Step 2: Convert to fraction form
    85,537/176,528 = 176,528/x
  3. Step 3: Cross multiply
    85,537x = 176,528 × 176,528
  4. Step 4: Simplify right side
    85,537x = 31,162,134,784
  5. Step 5: Solve for x
    x = 31,162,134,784/85,537
  6. Step 6: Final answer
    x = 364,311.76

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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.