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Finding the Third Proportional to 55,752 and 134,842

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Solution

The third proportional to 55,752 and 134,842 is: 326,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752 : 134,842 = 134,842 : x
  2. Step 2: Convert to fraction form
    55,752/134,842 = 134,842/x
  3. Step 3: Cross multiply
    55,752x = 134,842 × 134,842
  4. Step 4: Simplify right side
    55,752x = 18,182,364,964
  5. Step 5: Solve for x
    x = 18,182,364,964/55,752
  6. Step 6: Final answer
    x = 326,129.38

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.