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Finding the Third Proportional to 85,005 and 124,915.50

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Solution

The third proportional to 85,005 and 124,915.50 is: 183,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,005 : 124,915.50 = 124,915.50 : x
  2. Step 2: Convert to fraction form
    85,005/124,915.50 = 124,915.50/x
  3. Step 3: Cross multiply
    85,005x = 124,915.50 × 124,915.50
  4. Step 4: Simplify right side
    85,005x = 15,603,882,140.25
  5. Step 5: Solve for x
    x = 15,603,882,140.25/85,005
  6. Step 6: Final answer
    x = 183,564.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.