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Finding the Third Proportional to 67,725 and 155,758.50

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Solution

The third proportional to 67,725 and 155,758.50 is: 358,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,725 : 155,758.50 = 155,758.50 : x
  2. Step 2: Convert to fraction form
    67,725/155,758.50 = 155,758.50/x
  3. Step 3: Cross multiply
    67,725x = 155,758.50 × 155,758.50
  4. Step 4: Simplify right side
    67,725x = 24,260,710,322.25
  5. Step 5: Solve for x
    x = 24,260,710,322.25/67,725
  6. Step 6: Final answer
    x = 358,223.85

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.