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Finding the Third Proportional to 55,717.50 and 83,590.50

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Solution

The third proportional to 55,717.50 and 83,590.50 is: 125,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717.50 : 83,590.50 = 83,590.50 : x
  2. Step 2: Convert to fraction form
    55,717.50/83,590.50 = 83,590.50/x
  3. Step 3: Cross multiply
    55,717.50x = 83,590.50 × 83,590.50
  4. Step 4: Simplify right side
    55,717.50x = 6,987,371,690.25
  5. Step 5: Solve for x
    x = 6,987,371,690.25/55,717.50
  6. Step 6: Final answer
    x = 125,407.13

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