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Finding the Third Proportional to 39,324 and 85,560

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Solution

The third proportional to 39,324 and 85,560 is: 186,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,324 : 85,560 = 85,560 : x
  2. Step 2: Convert to fraction form
    39,324/85,560 = 85,560/x
  3. Step 3: Cross multiply
    39,324x = 85,560 × 85,560
  4. Step 4: Simplify right side
    39,324x = 7,320,513,600
  5. Step 5: Solve for x
    x = 7,320,513,600/39,324
  6. Step 6: Final answer
    x = 186,158.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.