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Finding the Third Proportional to 53,184 and 78,724

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Solution

The third proportional to 53,184 and 78,724 is: 116,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,184 : 78,724 = 78,724 : x
  2. Step 2: Convert to fraction form
    53,184/78,724 = 78,724/x
  3. Step 3: Cross multiply
    53,184x = 78,724 × 78,724
  4. Step 4: Simplify right side
    53,184x = 6,197,468,176
  5. Step 5: Solve for x
    x = 6,197,468,176/53,184
  6. Step 6: Final answer
    x = 116,528.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.