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Finding the Third Proportional to 40,264 and 87,428

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Solution

The third proportional to 40,264 and 87,428 is: 189,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,264 : 87,428 = 87,428 : x
  2. Step 2: Convert to fraction form
    40,264/87,428 = 87,428/x
  3. Step 3: Cross multiply
    40,264x = 87,428 × 87,428
  4. Step 4: Simplify right side
    40,264x = 7,643,655,184
  5. Step 5: Solve for x
    x = 7,643,655,184/40,264
  6. Step 6: Final answer
    x = 189,838.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.