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Finding the Third Proportional to 55,331 and 83,051.50

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Solution

The third proportional to 55,331 and 83,051.50 is: 124,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,331 : 83,051.50 = 83,051.50 : x
  2. Step 2: Convert to fraction form
    55,331/83,051.50 = 83,051.50/x
  3. Step 3: Cross multiply
    55,331x = 83,051.50 × 83,051.50
  4. Step 4: Simplify right side
    55,331x = 6,897,551,652.25
  5. Step 5: Solve for x
    x = 6,897,551,652.25/55,331
  6. Step 6: Final answer
    x = 124,659.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.