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Finding the Third Proportional to 84,130 and 183,932

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Solution

The third proportional to 84,130 and 183,932 is: 402,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,130 : 183,932 = 183,932 : x
  2. Step 2: Convert to fraction form
    84,130/183,932 = 183,932/x
  3. Step 3: Cross multiply
    84,130x = 183,932 × 183,932
  4. Step 4: Simplify right side
    84,130x = 33,830,980,624
  5. Step 5: Solve for x
    x = 33,830,980,624/84,130
  6. Step 6: Final answer
    x = 402,127.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.