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Finding the Third Proportional to 66,024 and 89,707.50

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Solution

The third proportional to 66,024 and 89,707.50 is: 121,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024 : 89,707.50 = 89,707.50 : x
  2. Step 2: Convert to fraction form
    66,024/89,707.50 = 89,707.50/x
  3. Step 3: Cross multiply
    66,024x = 89,707.50 × 89,707.50
  4. Step 4: Simplify right side
    66,024x = 8,047,435,556.25
  5. Step 5: Solve for x
    x = 8,047,435,556.25/66,024
  6. Step 6: Final answer
    x = 121,886.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.