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Finding the Third Proportional to 59,782.50 and 93,775.50

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Solution

The third proportional to 59,782.50 and 93,775.50 is: 147,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782.50 : 93,775.50 = 93,775.50 : x
  2. Step 2: Convert to fraction form
    59,782.50/93,775.50 = 93,775.50/x
  3. Step 3: Cross multiply
    59,782.50x = 93,775.50 × 93,775.50
  4. Step 4: Simplify right side
    59,782.50x = 8,793,844,400.25
  5. Step 5: Solve for x
    x = 8,793,844,400.25/59,782.50
  6. Step 6: Final answer
    x = 147,097.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.