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Finding the Third Proportional to 59,213 and 88,639

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Solution

The third proportional to 59,213 and 88,639 is: 132,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,213 : 88,639 = 88,639 : x
  2. Step 2: Convert to fraction form
    59,213/88,639 = 88,639/x
  3. Step 3: Cross multiply
    59,213x = 88,639 × 88,639
  4. Step 4: Simplify right side
    59,213x = 7,856,872,321
  5. Step 5: Solve for x
    x = 7,856,872,321/59,213
  6. Step 6: Final answer
    x = 132,688.30

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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.