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Finding the Third Proportional to 97,639 and 146,459

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Solution

The third proportional to 97,639 and 146,459 is: 219,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,639 : 146,459 = 146,459 : x
  2. Step 2: Convert to fraction form
    97,639/146,459 = 146,459/x
  3. Step 3: Cross multiply
    97,639x = 146,459 × 146,459
  4. Step 4: Simplify right side
    97,639x = 21,450,238,681
  5. Step 5: Solve for x
    x = 21,450,238,681/97,639
  6. Step 6: Final answer
    x = 219,689.25

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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.