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Finding the Third Proportional to 62,006 and 89,985

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Solution

The third proportional to 62,006 and 89,985 is: 130,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,006 : 89,985 = 89,985 : x
  2. Step 2: Convert to fraction form
    62,006/89,985 = 89,985/x
  3. Step 3: Cross multiply
    62,006x = 89,985 × 89,985
  4. Step 4: Simplify right side
    62,006x = 8,097,300,225
  5. Step 5: Solve for x
    x = 8,097,300,225/62,006
  6. Step 6: Final answer
    x = 130,588.98

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.