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Finding the Third Proportional to 40,527 and 87,048

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Solution

The third proportional to 40,527 and 87,048 is: 186,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,527 : 87,048 = 87,048 : x
  2. Step 2: Convert to fraction form
    40,527/87,048 = 87,048/x
  3. Step 3: Cross multiply
    40,527x = 87,048 × 87,048
  4. Step 4: Simplify right side
    40,527x = 7,577,354,304
  5. Step 5: Solve for x
    x = 7,577,354,304/40,527
  6. Step 6: Final answer
    x = 186,970.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.