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Finding the Third Proportional to 56,394 and 83,983.50

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Solution

The third proportional to 56,394 and 83,983.50 is: 125,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394 : 83,983.50 = 83,983.50 : x
  2. Step 2: Convert to fraction form
    56,394/83,983.50 = 83,983.50/x
  3. Step 3: Cross multiply
    56,394x = 83,983.50 × 83,983.50
  4. Step 4: Simplify right side
    56,394x = 7,053,228,272.25
  5. Step 5: Solve for x
    x = 7,053,228,272.25/56,394
  6. Step 6: Final answer
    x = 125,070.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.