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Finding the Third Proportional to 56,950.50 and 86,830.50

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Solution

The third proportional to 56,950.50 and 86,830.50 is: 132,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,950.50 : 86,830.50 = 86,830.50 : x
  2. Step 2: Convert to fraction form
    56,950.50/86,830.50 = 86,830.50/x
  3. Step 3: Cross multiply
    56,950.50x = 86,830.50 × 86,830.50
  4. Step 4: Simplify right side
    56,950.50x = 7,539,535,730.25
  5. Step 5: Solve for x
    x = 7,539,535,730.25/56,950.50
  6. Step 6: Final answer
    x = 132,387.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.