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Finding the Third Proportional to 84,483 and 125,428.50

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Solution

The third proportional to 84,483 and 125,428.50 is: 186,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,483 : 125,428.50 = 125,428.50 : x
  2. Step 2: Convert to fraction form
    84,483/125,428.50 = 125,428.50/x
  3. Step 3: Cross multiply
    84,483x = 125,428.50 × 125,428.50
  4. Step 4: Simplify right side
    84,483x = 15,732,308,612.25
  5. Step 5: Solve for x
    x = 15,732,308,612.25/84,483
  6. Step 6: Final answer
    x = 186,218.63

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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.