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Finding the Third Proportional to 59,097 and 88,706

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Solution

The third proportional to 59,097 and 88,706 is: 133,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,097 : 88,706 = 88,706 : x
  2. Step 2: Convert to fraction form
    59,097/88,706 = 88,706/x
  3. Step 3: Cross multiply
    59,097x = 88,706 × 88,706
  4. Step 4: Simplify right side
    59,097x = 7,868,754,436
  5. Step 5: Solve for x
    x = 7,868,754,436/59,097
  6. Step 6: Final answer
    x = 133,149.81

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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.