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Finding the Third Proportional to 84,076 and 183,937

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Solution

The third proportional to 84,076 and 183,937 is: 402,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076 : 183,937 = 183,937 : x
  2. Step 2: Convert to fraction form
    84,076/183,937 = 183,937/x
  3. Step 3: Cross multiply
    84,076x = 183,937 × 183,937
  4. Step 4: Simplify right side
    84,076x = 33,832,819,969
  5. Step 5: Solve for x
    x = 33,832,819,969/84,076
  6. Step 6: Final answer
    x = 402,407.58

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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.