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Finding the Third Proportional to 53,482 and 138,738

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Solution

The third proportional to 53,482 and 138,738 is: 359,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482 : 138,738 = 138,738 : x
  2. Step 2: Convert to fraction form
    53,482/138,738 = 138,738/x
  3. Step 3: Cross multiply
    53,482x = 138,738 × 138,738
  4. Step 4: Simplify right side
    53,482x = 19,248,232,644
  5. Step 5: Solve for x
    x = 19,248,232,644/53,482
  6. Step 6: Final answer
    x = 359,901.14

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.