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Finding the Third Proportional to 69,037.50 and 101,280

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Solution

The third proportional to 69,037.50 and 101,280 is: 148,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,037.50 : 101,280 = 101,280 : x
  2. Step 2: Convert to fraction form
    69,037.50/101,280 = 101,280/x
  3. Step 3: Cross multiply
    69,037.50x = 101,280 × 101,280
  4. Step 4: Simplify right side
    69,037.50x = 10,257,638,400
  5. Step 5: Solve for x
    x = 10,257,638,400/69,037.50
  6. Step 6: Final answer
    x = 148,580.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.