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Finding the Third Proportional to 62,546 and 93,507

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Solution

The third proportional to 62,546 and 93,507 is: 139,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,546 : 93,507 = 93,507 : x
  2. Step 2: Convert to fraction form
    62,546/93,507 = 93,507/x
  3. Step 3: Cross multiply
    62,546x = 93,507 × 93,507
  4. Step 4: Simplify right side
    62,546x = 8,743,559,049
  5. Step 5: Solve for x
    x = 8,743,559,049/62,546
  6. Step 6: Final answer
    x = 139,794.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.