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Finding the Third Proportional to 69,351 and 101,557.50

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Solution

The third proportional to 69,351 and 101,557.50 is: 148,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,351 : 101,557.50 = 101,557.50 : x
  2. Step 2: Convert to fraction form
    69,351/101,557.50 = 101,557.50/x
  3. Step 3: Cross multiply
    69,351x = 101,557.50 × 101,557.50
  4. Step 4: Simplify right side
    69,351x = 10,313,925,806.25
  5. Step 5: Solve for x
    x = 10,313,925,806.25/69,351
  6. Step 6: Final answer
    x = 148,720.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.