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Finding the Third Proportional to 52,639 and 71,465

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Solution

The third proportional to 52,639 and 71,465 is: 97,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,639 : 71,465 = 71,465 : x
  2. Step 2: Convert to fraction form
    52,639/71,465 = 71,465/x
  3. Step 3: Cross multiply
    52,639x = 71,465 × 71,465
  4. Step 4: Simplify right side
    52,639x = 5,107,246,225
  5. Step 5: Solve for x
    x = 5,107,246,225/52,639
  6. Step 6: Final answer
    x = 97,024.00

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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.