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Finding the Third Proportional to 93,510 and 131,528

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Solution

The third proportional to 93,510 and 131,528 is: 185,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,510 : 131,528 = 131,528 : x
  2. Step 2: Convert to fraction form
    93,510/131,528 = 131,528/x
  3. Step 3: Cross multiply
    93,510x = 131,528 × 131,528
  4. Step 4: Simplify right side
    93,510x = 17,299,614,784
  5. Step 5: Solve for x
    x = 17,299,614,784/93,510
  6. Step 6: Final answer
    x = 185,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.